[Question]Rayden bought three times as many ducks as Lily from the market. He also bought four times as many geese as Lily. If Lily bought 20 ducks and 10 geese, how many more ducks and geese do Rayden have more than Lily altogether?
[Answer]If Rayden bought three times as many ducks as Lily, then he has 3 * 20 = 60 ducks. He has 60 - 20 = 40 more ducks than Lily has. Rayden also bought 4 * 10 = 40 geese, four times the geese that Lily bought. He has 40 - 10 = 30 more ducks than Lily. Altogether, Rayden has 30 + 40 = 70 more ducks and geese than Lily. The answer is 70.
Q: Bob is building a vegetable garden. It is 220 feet long by 120 feet wide. Half of the garden is going to be tilled land. A third of the rest of it will have trellises for vining plants, and the rest will be devoted to raised beds. How big will the raised bed section of the garden be?
A: The garden is 220 * 120 = 26,400 square feet. The tilled land will take up half the area, and the trellises and raised beds will be the other half. Each half is 26,400 / 2 = 13,200 square feet. The trellises will take up 1 / 3 of the remaining land, so the raised beds will take 1 - 1 / 3 = 2 / 3 of the remaining land. So the total area of the raised bed area will be 13,200 square feet * (2 / 3) = 8,800 square feet. The answer is 8800.
Question: Jordan is a hockey goalie. In the first period of a game, he blocked four shots. In the second period, he blocked twice as many shots. In the third period, he blocked three fewer than in the second period. When the game ended after the fourth period, he had blocked 21 shots in all. How many did Jordan block in the fourth period?
Answer: Let F be the number of shots Jordan blocked in the fourth period. In the second period, he blocked 2 * 4 = 8 shots. In the third period, he blocked 8 - 3 = 5 shots. In the whole game, he blocked 4 + 8 + 5 + F = 17 + F = 21 shots. Thus, Jordan blocked F = 21 - 17 = 4 shots in the fourth period. The answer is 4.
[Question]Cheyenne is a craftswoman making pots for sale. On a particular week, she made 80 clay pots. However, when she put them in the sun to dry, 2/5 of the pots cracked and could not be sold. How much money did Cheyenne make from selling the remaining items at $40 per clay pot?
[Answer]When she put them in the sun to dry, 2 / 5 * 80 = 32 of the clay pots that Cheyenne made cracked and could not be sold. The number of pots that were good for sale is 80 - 32 = 48. If she sold each clay pot at $40, she earned $40 * 48 = $1920 from selling the good pots. The answer is 1920.
Q: James wants to build a 16-foot by 20-foot quilt. He uses patches that are each 4 square feet. The first 10 patches cost $10 each and then each patch after that cost half as much. How much do the patches for the quilt cost?
A: The patch is 16 * 20 = 320 square feet. So he needs 320 / 4 = 80 patches. The first 10 patches cost 10 * 10 = $100. He gets a discount on the next 80 - 10 = 70 patches. They each cost 10 / 2 = $5. So in total they cost 70 * 5 = $350. That means in total he paid 100 + 350 = $450. The answer is 450.
Question: Martha has 11 butterflies in her collection. She has twice as many blue butterflies as yellow butterflies. The rest of her butterflies are black. If Martha has 5 black butterflies, how many blue butterflies does she have?
Answer:
Martha has 11 - 5 = 6 blue and yellow butterflies. Martha has 6 / 3 = 2 yellow butterflies. Martha has 2 * 2 = 4 blue butterflies. The answer is 4.