Q: Heloise has dogs and cats in the ratio of 10:17, with the total number of pets being 189. If she gives 10 dogs to her friend Janet, how many dogs does she remain with altogether?
A: The total ratio for the number of cats and dogs that Heloise has is 10 + 17 = 27. From the ratios, the fraction representing the number of dogs is 10 / 27, and this represents 10 / 27 * 189 = 70 dogs. If Heloise gives 10 of her dogs to Janet, she remains with 70 - 10 = 60 dogs. The answer is 60.
Question: Karl sells clothing in his store. He sells a T-shirt that costs $5, some pants that cost $4, and some skirts that cost $6, he also sells some refurbished t-shirts that cost half the original price. How much is his total income if he sold two T-shirts, one pair of pants, four skirts, and six refurbished T-shirts?
Answer: The refurbished T - shirt costs $5 / 2 = $2.5. He earn $2.5 x 6 = $15 for the refurbished T - shirt. He can earn $5 x 2 = $10 for the T - shirts. He can earn $4 x 1 = $4 for the pants. He can earn $6 x 4 = $24 for the skirts. Therefore Karl can earn a total of $15 + $10 + $4 + $24 = $53. The answer is 53.
[Question]Wayne wants to serve shrimp cocktail as an appetizer. He plans on 5 shrimp per guest and will have 40 guests. If the shrimp costs $17.00 per pound and each pound has 20 shrimp, how much will he spend on the appetizer?
[Answer]He wants to serve 5 shrimp per guest and will have 40 guests so he needs 5 * 40 = 200 shrimp. Each pound of shrimp has 20 shrimp and he needs 200 shrimp so he needs 200 / 20 = 10 pounds of shrimp. The shrimp is $17.00 per pound and he needs 10 pounds so he will spend 17 * 10 = $170.00 on shrimp. The answer is 170.
Q: Jess made 3 different stacks of wooden blocks. The first stack was 7 blocks high, the second stack was 5 block(s) higher than the first, and the final stack was 7 block(s) higher than the second. Jess’ little sister knocked over the entire first tower, in the second tower she left 2 blocks standing, and in the final tower she left 3 blocks standing. How many blocks in total fell down?
A: Jess’ second stack was 7 blocks + 5 blocks = 12 blocks. Jess’ third stack was 12 blocks + 7 blocks = 19 blocks high. Jess’ sister knocked down the second tower and knocked 12 blocks – 2 = 10 blocks knocked over. Jess’ sister knocked down the final tower and knocked 19 blocks – 3 = 16 blocks knocked over. Total blocks knocked over was 7 blocks + 10 + 16 = 33 blocks. The answer is 33.
Question: Carol is an aviation engineer deciding how much fuel to put in a jet. The empty plane needs 20 gallons of fuel per mile. Each person on the plane increases this amount by 3 gallons per mile, and each bag increases it by 2 gallons per mile. If there are 30 passengers and 5 flight crew, and each person brought two bags, how many gallons of fuel does the plane need for a 400-mile trip?
Answer: First find the total number of people by adding the number of passengers and flight crew: 30 people + 5 people = 35 people. Then find the total number of bags by doubling the total number of people: 35 people * 2 bags / person = 70 bags. Then find the fuel increase caused by the people by multiplying their number by the fuel increase per person: 35 people * 3 gallons / mile / person = 105 gallons / mile. Then multiply the number of bags by the fuel increase per bag to find the total fuel increase they cause: 70 bags * 2 gallons / mile / bag = 140 gallons / mile. Now add the fuel increases to the base fuel consumption to find the total fuel needed per mile: 140 gallons / mile + 105 gallons / mile + 20 gallons / mile = 265 gallons / mile. Now multiply the fuel consumption per mile by the number of miles flown to find the total amount of fuel needed: 265 gallons / mile * 400 miles = 106,000 gallons of fuel. The answer is 106000.
Q: Aubrey is planting tomatoes and cucumbers in her garden. For each row of tomato plants, she is planting 2 rows of cucumbers. She has enough room for 15 rows of plants in total. There is enough space for 8 tomato plants in each row. If each plant produces 3 tomatoes, how many tomatoes will she have in total?
A:
Since one out of every 3 rows will contain tomato plants, there will be 15 / 3 = 5 rows of tomato plants. This gives her enough room to plant 5 rows * 8 plants / row = 40 tomato plants. The plants will produce a total of 40 * 3 = 120 tomatoes. The answer is 120.