[Question]A long wire is cut into three smaller pieces in the ratio of 7:3:2. If the shortest piece is 16 cm, how long was the entire wire before it was cut?
[Answer]Since the shortest part is consists of 2 parts, then each part is equal to 16 cm / 2 = 8 cm. The whole wire was cut into 7 + 3 + 2 = 12 parts. Hence, the wire was 8 cm x 12 = 96 cm long. The answer is 96.
Q: June has $500 for buying school supplies for the new school year. She buys four maths books at $20 each, six more science books than maths books at $10 each, and twice as many art books as maths books at $20 each. If she also bought music books, how much money did she spend on music books?
A: The total cost of maths books is 4 * 20 = $80$. She bought six more science books than maths books which totals 6 + 4 = 10 books. If each science book cost her $10 she spent 10 * 10 = $100 on science books. There were twice as many art books as maths books which total 2 * 4 = 8. The total cost for art books is 8 * 20 = $160. The total amount that she used for maths, science, and art books is 160 + 100 + 80 = $340. The amount she spent on music books is 500 - 340 = $160. The answer is 160.
Question: Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon have?
Answer: Bruce has 20 more legos than Kent who has 40 so Bruce has 20 + 40 = 60 legos. Simon has 20% more legos than Bruce who has 60 legos so that's .20 * 60 = 12 more legos. 20% more is 12 legos and Bruce has 60 so Simon has 12 + 60 = 72 legos. The answer is 72.
[Question]Your mom bought a refrigerator and a washing machine. Note that the price of the refrigerator is $4275 and the price of the washing machine is $1490 less than the price of the refrigerator. Calculate the total price of the purchases in dollars.
[Answer]The price of the washing machine is $4275 - $1490 = $2785. The total price of the purchases is $4275 + $2785 = $7060. The answer is 7060.
Q: A rival football team has won twice as many matches as the home team they will be playing did. If records show that the home team has won three matches, and each team drew four matches and lost none, how many matches have both teams played in total?
A: The rival team won twice as many as the home team who won 3 matches so they won 2 * 3 = 6 matches. They both drew 4 matches each for a total of 2 * 4 = 8 matches. The total number of matches played is 3 + 6 + 8 = 17 matches. The answer is 17.
Question: Shanna planted 6 tomato plants, 2 eggplant plants, and 4 pepper plants in her summer garden. Half of her tomato plants and one pepper plant died. The remaining plants each gave her 7 vegetables. How many vegetables did she have in all to harvest?
Answer:
Shanna had 6 / 2 = 3 surviving tomato plants. She had 4 - 1 = 3 surviving pepper plants. Thus, she had 3 + 3 + 2 = 8 surviving vegetable plants. Each gave her 7 vegetables, so she had 8 * 7 = 56 vegetables to harvest in all. The answer is 56.