Jerusha earned 4 times as much money as Lottie. Together they earned $85. How many dollars did Jerusha earn? Use L to represent Lottie's earnings.
L = Lottie's earnings
Jerusha's earnings =
<<4=4>>4L L + 4L = 85 L = 85/5 L = 17 so Jerusha earned 4L = 4(17) = <<4*17=68>>68 Jerusha earned $<<68=68>>68 #### 68 Bubba bought a new two-story warehouse. When empty, the first floor of the building contains twice as much floor space for storage as the second floor. The first items he brought into his empty building were several thousand boxes; and he put them all on the second floor, which filled one-quarter of the second floor storage space. If the boxes used up 5,000 square feet of storage space, how many square feet of storage space is still available in the building? If 5,000 square feet represents one-quarter of the second floor storage space, then the second floor has 5,000*4=<<5000*4=20000>>20,000 square feet of storage space. Since the first floor has twice as much space as the second floor, then the first floor has 20,000*2=<<20000*2=40000>>40,000 square feet of storage space. Altogether, when empty, the entire building has 20,000+40,000=<<20000+40000=60000>>60,000 square feet of storage space. Since the second floor has 5,000 square feet of storage space filled with boxes, then there are 60,000-5,000=55,000 square feet of unused storage space still available in the building. #### 55,000 Lauren wanted to make burgers and fries for dinner. She needed a few things from the grocery store and bought the following: 2 pounds of hamburger meat that was on sale for $3.50 a pound. 1 pack of hamburger buns for $1.50. A head of lettuce for $1.00 and a large 1.5-pound tomato that was priced at $2.00 per pound. She also needed a jar of pickles that cost $2.50 and she had a $1.00 off coupon for that item. How much change would Lauren get back if she paid with a $20 bill? She bought 2 pounds of hamburger meat at $3.50 per pound so 2*3.50 = $<<2*3.50=7.00>>7.00 The tomato weighed 1.5 pounds and cost $2.00 per pound so 1.5*2 = $<<1.5*2=3.00>>3.00 When you add up all her items she spent 7+1.50+1+3+2.50=$<<7+1.50+1+3+2.50=15.00>>15.00 Her items added up to $15.00 and she had a $1.00 coupon off pickles so 15-1 = $<<15-1=14.00>>14.00 She paid with a $20.00 bill so 20-14 = $<<20-14=6.00>>6.00 in change #### 6 Haleigh decides that instead of throwing away old candles, she can use the last bit of wax combined together to make new candles. Each candle has 10% of it's original wax left. How many 5 ounce candles can she make if she has five 20 oz candles, 5 five ounce candles, and twenty-five one ounce candles? She gets 2 ounces of wax from a 20 ounce candle because 20 x .1 = <<20*.1=2>>2 She gets 10 ounces total from these candles because 5 x 2 = <<5*2=10>>10 She gets .5 ounces of wax from each five ounce candle because 5 x .1 = <<5*.1=.5>>.5 She gets 1.5 ounces total from these candles because 5 x .5 = <<5*.5=2.5>>2.5 She gets .1 ounces from each one ounce candle because 1 x .1 = <<1*.1=.1>>.1 She gets 2.5 ounces from these candles because 25 x .1 = <<25*.1=2.5>>2.5 She gets 15 ounces total because 10 + 2.5 + 2.5 = <<10+2.5+2.5=15>>15 She can make 3 candles because 15 / 5 = <<15/5=3>>3 #### 3 Martin eats 1/2 cup of berries every day. The grocery store is selling a package of berries (1 cup per pack) for $2.00. How much will he spend on berries in a 30 day period? Martin eats 1/2 cup berries every day so over 30 days that's .5*30 = <<1/2*30=15>>15 cups of berries The grocery store sells 1 cup packages of berries for $2.00 a pack. Martin needs 15 cups so that's 2*15 = $<<15*2=30.00>>30.00. #### 30 Carlo has a music recital next week. He practiced twice as long on Monday as on Tuesday. On Tuesday, he practiced 10 minutes less than on Wednesday. On Wednesday, he practiced 5 minutes more than on Thursday. On Thursday, he practiced for 50 minutes. If he needs to practice for a total of 5 hours that week, how long should Carlo practice on Friday? On Wednesday, Carlo practiced for 50 + 5 = <<50+5=55>>55 minutes. On Tuesday, he practiced for 55 - 10 = <<55-10=45>>45 minutes. On Monday, he practiced for 45 x 2 = <<45*2=90>>90 minutes. So, Carlo practiced for a total of 90 + 45 + 55 + 50 = <<90+45+55+50=240>>240 minutes from Monday to Thursday. He needs to practice for a total of 60 x 5 = <<60*5=300>>300 minutes. Therefore, he should practice for 300 - 240 = <<300-240=60>>60 minutes on Friday. #### 60 Viggo spent $80 on a shirt. He paid the shirt using $20 and $10 bills. If she gave the clerk one more $20 bill than $10 bills, how many $10 bills did he give? Let x be the number of $10 bills. So, there are (x + 1) $20 bills. Adding the $10 and $20 bills should sum up to $80 so the equation is 10x + 20(x + 1) = 80. Then, distribute 20 to x + 1 so it becomes 10x + 20x + 20 = 80. Combining the like terms on the left side gives 30x + 20 = 80. Then transfer 20 to the right side of the equation, so it becomes 30x = 60. To solve for x, we have 60/30 = <<60/30=2>>2. Therefore, there are 2 $10 bills. #### 2 They say the first year of a dog's life equals 15 human years. The second year of a dog's life equals 9 human years and after that, every year of a dog's life equals 5 human years. According to this logic, how many human years has my 10-year-old dog lived? If your dog is 10 years old then in his first year of life he lived 1*15 = 15 human years In his second year of life, he lived 1*9 = <<1*9=9>>9 human years We need to calculate his remaining years or 10-2 = <<10-2=8>>8 years of dog life into human years If 1 year of dog life after the 2 years equates to 5 human years, then 8 years of dog life equals 8*5 = <<8*5=40>>40 human years In total, your dog has lived 15 + 9 + 40 = <<15+9+40=64>>64 human years #### 64 Together, Alan and Marcy handed out 150 parking tickets. If Marcy handed out 6 fewer than 5 times as many tickets as Alan, how many tickets did Alan hand out? Let a be the number of tickets Alan hands out and m be the number Marcy hands out. We know that a + m = 150 and m = 5a - 6 Substituting the second equation into the first, we get a + 5a - 6 = 150 Adding 2 to both sides, we get a + 5a = 156 Combining like terms, we get 6a = 156 Dividing both sides by 6, we get a = 26 #### 26 Debelyn, Christel, and Andrena collect dolls. Debelyn had 20 dolls before she gave Andrena 2 dolls. Christel had 24 dolls before giving Andrena 5 dolls. After all the gifts, Andrena now has 2 more dolls than Christel, how many more dolls does andrena have now than Debelyn? Debelyn had 20 - 2 = <<20-2=18>>18 dolls left after giving out 2 dolls to Christel. Christel had 24 + 2 = <<24+2=26>>26 dolls after receiving 2 dolls from Debelyn. Christel had 24 - 5 = <<24-5=19>>19 dolls after giving Andrena 5 dolls. So, Andrena has 19 +2 = <<19+2=21>>21 dolls now. Therefore, Andrena has 21 - 18 = <<21-18=3>>3 more dolls than Debelyn. #### 3