Q: Sam went for a run in the morning. In the afternoon, he went grocery shopping and walked twice the distance through the store as he had run that morning. That evening, he went on a bike ride with his family and biked for 12 miles. In all, he went 18 miles that day. How many miles was Sam’s morning run?
A: Let X be the distance Sam ran. His walk through the store was twice the distance of his run, so his walk was 2X. He biked for 12 miles and went 18 miles in all, so he walked and ran 18 - 12 = 6 miles. Thus, his walk and run together were X + 2X = 3X = 6 miles. Thus, he ran X = 6 / 3 = 2 miles. The answer is 2.
Question: I caught 4 fewer fish than the number in my tank and added them to my fish tank. If the tank has 20 fish right now, how many did I add?
Answer: Let's say the number of fish that was in the tank before was x. If you caught 4 fewer fish than the number that was there, then you caught x - 4. After adding x - 4 fish into the tank, the tank now had 20 fish, meaning the total number of fish in the tank is x + x - 4 = 20. 2x = 20 + 4. The total number of fish that was initially in the tank is 2x = 24. Initially, there were x = 24 / 2 fish in the tank. x = 12. If you caught 4 fewer fish than the number in my tank initially, you caught 12 - 4 = 8 fish. The answer is 8.
[Question]Jean is trying to motivate herself to write her final paper. She eats one donut per 2 pages that she writes. If she writes 12 pages and each donut has 150 calories, how many calories does she eat?
[Answer]First find the total number of donuts Jean eats: 12 pages / 2 pages / donut = 6 donuts. Then multiply that number by the number of calories per donut to find the total number of calories she eats: 6 donuts * 150 calories / donut = 900 calories. The answer is 900.
Q: A family went out to see a movie. The regular ticket costs $9 and the ticket for children is $2 less. They gave the cashier two $20 bills and they received a $1 change. How many children are there if there are 2 adults in the family?
A: They gave the cashier $20 x 2 = $40. Since a $1 change was returned, this means the tickets cost $40 - $1 = $39. Two adult tickets cost $9 x 2 = $18. So, $39 - $18 = $21 was spent for the children's tickets. Each child's ticket costs $9 - $2 = $7. Therefore, there are $21 / $7 = 3 children. The answer is 3.
Question: Michael has $50. He wants to surprise his mom on Mother's day by buying a cake for $20, a bouquet for $36, and a set of balloons for $5. How much more money does Michael need to buy all those?
Answer: Michael will spend $20 + $36 + $5 = $61. So, he needs $61 - $50 = $11 more to buy all those for his mom. The answer is 11.
Q: Carla needs to bring water to her animals. Each horse needs twice as much water as a pig, and the chickens drink from one tank that needs 30 gallons. How many gallons of water does Carla need to bring if she has 8 pigs and 10 horses and each pig needs 3 gallons of water?
A:
First figure out how much water all the pigs need: 8 pigs * 3 gallons / pig = 24 gallons. Then figure out how much water one horse needs by multiplying a pig's needs by 2: 3 gallons * 2 = 6 gallons. Now find how much water all the horses need: 10 horses * 6 gallons / horse = 60 gallons. Finally, add up all the animals' water needs: 24 gallons + 60 gallons + 30 gallons = 114 gallons. The answer is 114.