Mrs. Thomson received an incentive worth $240. She spent 1/3 of the money on food and 1/5 of it on clothes. Then, she put in her savings account 3/4 of the remaining money. How much money did Mrs. Thomson save?
Mrs. Thomson spent $240 x 1/3 = $
<<240*1/3=80>>80 on food. She spent $240 x 1/5 = $<<240*1/5=48>>48 on clothes. So she spent a total of $80 + $48 = $<<80+48=128>>128 on food and clothes. Hence, she had $240 - $128 = $<<240-128=112>>112 left after buying food and clothes. Then, Mrs. Thomson saved $112 x 3/4 = $<<112*3/4=84>>84. #### 84 Jenny collects cans and bottles to take down to the recycling center. Each bottle weighs 6 ounces and each can weighs 2 ounces. Jenny can carry a total of 100 ounces. She collects 20 cans and as many bottles as she can carry. If she gets paid 10 cents per bottle and 3 cents per can, how much money does she make (in cents)? First, the weight of 20 cans is 20 cans * 2 oz per can = <<20*2=40>>40 oz. Thus, Jenny has the capacity to carry 100 oz - 40 oz = <<100-40=60>>60 oz of bottles. Jenny can carry 60 oz / 6 oz per bottle = <<60/6=10>>10 bottles. Jenny earns 10 bottles * 10 cents per bottle = <<10*10=100>>100 cents for the bottles. Jenny earns 20 cans * 3 cents per can = <<20*3=60>>60 cents for the cans. In total, she earns 100 cents + 60 cents = <<100+60=160>>160 cents. #### 160 Karen is considering her winter coat options. One coast costs $300 and will last for 15 years. The other coat costs $120 and will last for five years. How much money would Karen save over 30 years by buying the more expensive cost? First find the number of cheaper coats Karen will have to purchase over 30 years: 30 years / 5 years/coat = <<30/5=6>>6 coats Then multiply that number by the cost of one cheaper coat to find the total cost of that option: 6 coats * $120/coat = $<<6*120=720>>720 Then find the number of more expensive coats Karen will have to purchase over 30 years: 30 years / 15 years/coat = <<30/15=2>>2 coats Then multiply that number by the cost of one expensive coat to find the total cost of that option: 2 coats * $300/coat = $<<2*300=600>>600 Then subtract the total cost of the more expensive coats from the total cost of the less expensive coats to find the difference: $720 - $600 = $<<720-600=120>>120 #### 120 When Hannah was 6 years old, her age was double the age of her sister July. Now, 20 years later, if July's husband is 2 years older than her, how old is he? July was 6 / 2 = <<6/2=3>>3 years old when Hannah was 6. Now, July is 3 + 20 = <<3+20=23>>23 years old July's husband is 23 + 2 = <<23+2=25>>25 years old #### 25 A four-layer pyramid is being built with each layer having three times as many sandstone blocks as the layer above it. The top layer is a single block. How many sandstone blocks are in the pyramid? There are 1 * 3 = <<1*3=3>>3 blocks in the second layer. There are 3 * 3 = <<3*3=9>>9 blocks in the third layer. There are 9 * 3 = <<9*3=27>>27 blocks in the fourth layer. Thus, there are 1 + 3 + 9 + 27 = <<1+3+9+27=40>>40 sandstone blocks in the pyramid. #### 40 Emmy has a collection of 14 iPods. She loses 6 out of the 14 she had but she still has twice as many as Rosa. How many iPods does Emmy and Rosa have together? Emmy has 14-6 = <<14-6=8>>8 iPods left. Rosa has 8/2 = <<8/2=4>>4 iPods. Emmy and Rosa have 8+4 = <<8+4=12>>12 iPods together. #### 12 Wendy's truck has a gas tank that can hold 20 gallons. She also has a car with a gas tank that holds 12 gallons. The truck's tank is half full. The car's tank is 1/3 full. If she fills them both up completely, how many gallons does she add? The truck tank has 10 gallons in it because 20 x .5 = <<20*.5=10>>10 The car tank has 4 gallons in it because 12 x (1/3) = <<12*(1/3)=4>>4 She needs to add 10 gallons to the truck because 20 - 10 = <<20-10=10>>10 She needs to add 8 gallons to the car because 12 - 4 = <<12-4=8>>8 She needs to add 18 gallons in total because 10 + 8 = <<10+8=18>>18 #### 18 Lady Bird uses 1 1/4 cup flour to make 9 biscuits. She’s hosting this month's Junior League club which has 18 members and wants to make sure she allows 2 biscuits per guest. How many cups of flour will Lady Bird need? There will be 18 members and she wants to allow 2 biscuits per member so that’s 18*2 = <<18*2=36>>36 biscuits Her biscuit recipe yields 9 biscuits and she needs to make 36 biscuits so she needs to make 36/9 = <<36/9=4>>4 batches of biscuits 1 batch of biscuits uses 1 1/4 cup flour and she needs to make 4 batches so she will use 1.25*4 = <<1.25*4=5>>5 cups of flour #### 5 Reyna had 20 lamps with seven light bulbs in each lamp. If 1/4 of them have 2 burnt-out light bulbs each, how many light bulbs are working? The total number of light bulbs in the 20 lamps is 20*7 = <<20*7=140>>140 If 1/4 of the 20 lamps have burnt-out light bulbs, there are 1/4*20 = <<1/4*20=5>>5 lamps with burn out light bulbs Since each of the 5 lamps has 2 burnt-out light bulbs, the number of burn out light bulbs is 2*5 = <<2*5=10>>10 The number of working light bulbs is 140 -10 = <<140-10=130>>130 #### 130 It takes a butterfly egg 120 days to become a butterfly. If each butterfly spends 3 times as much time as a larva as in a cocoon, how long does each butterfly spend in a cocoon? Let c be the amount of time the butterfly spends in a cocoon and l be the amount of time it spends as a larva. We know that l = 3c and l + c = 120. Substituting the first equation into the second equation, we get 3c + c = 120. Combining like terms, we get 4c = 120. Dividing both sides by 4, we get c = 30. #### 30