一个美术生
Grace's age is 3/8th the age of her grandmother. Her grandmother is twice the age of Grace's mother. If Grace's mother is 80 years old, how old is Grace?
Grace's grandmother is 2 * 80 years =
<<2*80=160>>160 years old. Grace's age is 3/8 * 160 years = <<3/8*160=60>>60 years old. #### 60 Roger uses his lunch break to walk the stairs in his office building. He can walk 2,000 steps in 30 minutes. If his daily goal is 10,000 steps, how many minutes will it take him to reach his goal? Each step Roger walks for 30/2000 = <<30/2000=0.015>>0.015 minutes To walk 10000 steps he'll take 0.015*10000 = <<0.015*10000=150>>150 #### 150 A retailer sells any shirt for the same price and any pair of pants for the same price, but the price of shirts and pants are not the same. Say you bought 2 shirts and 3 pairs of pants for $120 in total, then you realized you didn't need the extra pants. What's the price of 1 shirt at this place if when you returned all 3 pairs of pants you were refunded 25% of what you originally paid? If I paid $120 and I was refunded 25% for all the 3 pants, then that means I received 25%*120=$<<120*25*.01=30>>30 This means the total price of the 2 shirts was 120-30 = <<120-30=90>>90 The price of one shirt is thus 90/2 = <<90/2=45>>45 #### 45 Calum runs a nightclub and decides to run a disco night to attract different customers. He is planning the event and is calculating how much he can spend on each item without spending more than he has budgeted. He only needs to buy 4 disco balls and 10 boxes of food. Each box of food costs $25. Calum’s budget for the disco balls and food is $330. How much, in dollars, can Calum afford to spend on each disco ball? The food is going to cost Calum a total of 10 boxes of food * $25 per box of food = $<<10*25=250>>250. This leaves $330 budget - $250 spent on food = $<<330-250=80>>80 to spend on disco balls. Calum can therefore afford to spend $80 remaining budget / 4 disco balls = $<<80/4=20>>20 on each disco ball. #### 20 Sally Draper gave her dad Don Draper 10oz of rum on his pancakes. Don can consume a maximum of 3 times that amount of rum for a healthy diet. If he already had 12oz of rum earlier that day, how many oz of rum can Don have after eating all of the rum and pancakes? 3 times the initial amount of 10 oz is 3*10=<<3*10=30>>30 oz He has consumed 10+12=<<10+12=22>>22 oz of rum He can still consume 30-22=<<30-22=8>>8 oz of rum #### 8 Jenny wants to heat a dish for dinner. It needs to be at 100 degrees before it is ready to eat. It is 20 degrees when she places it in the oven, and it heats up 5 degrees every minute. How many minutes will it take to be ready? To determine this, we must first figure out the required change in temperature. To do this, we perform 100-20= <<100-20=80>>80 degrees of required temperature change. Next, we divide this amount by the rate of change per minute, performing 80/5= <<80/5=16>>16 minutes of cooking time. #### 16 A pen and pencil have a total cost of $6. If the pen costs twice as much as the pencil, what is the cost of the pen? Let x be the cost of the pencil. If the pen costs 2 times the cost of the pencil, then it costs 2x. Adding the cost of the pen and pencil we get 2x + x = 3x Since the total cost is $6 then 3x = $6 therefore x = $6 / 3 = $2 One pen is equal to 2 * x which is 2 * $2 = $4 #### 4 A math teacher had $100 to buy three different types of calculators. A basic calculator costs $8. A scientific calculator costs twice the price as the basic while a graphing calculator costs thrice the price as the scientific. How much change did she receive after buying those three different types of calculators? A scientific calculator costs $8 x 2 = $<<8*2=16>>16. A graphing calculator costs $16 x 3 = $<<16*3=48>>48. So, she spent $8 + $16 + $48 = $<<8+16+48=72>>72 for the three calculators. Therefore, the math teacher received $100 - $72 = $<<100-72=28>>28 change. #### 28 Lucy works in a pet shop. She can clean 2 aquariums in 3 hours. If Lucy is working 24 hours this week, how many aquariums could she clean? We know how many aquariums Lucy can clean in a 3-hour increment. This week, Lucy will work for 24 / 3 = <<24/3=8>>8 increments. Lucy can clean 2 aquariums per increment, so she can clean 2 x 8 = <<2*8=16>>16 aquariums. #### 16 Tricia buys large bottles of iced coffee that have 6 servings per container. She drinks half a container a day. The coffee is currently on sale for $3.00 a bottle. How much will it cost her to buy enough bottles to last for 2 weeks? She drinks half a container of a 6 serving bottle of iced coffee a day so she drinks 6/2 = <<6/2=3>>3 servings a day There are 7 days in a week and she needs enough bottles to last for 2 weeks so that's 7*2 = <<7*2=14>>14 days She drinks 3 servings a day for 14 days so that's 3*14 = <<3*14=42>>42 servings Each bottle holds 6 servings and she drinks 42 servings in a week so she needs 42/6 = <<42/6=7>>7 bottles The iced coffee is on sale for $3.00 a bottle and she needs 7 bottles for a total of 3*7 = $<<3*7=21.00>>21.00 #### 21