A farmer wants to mix two types of hay. the first type sells for $125 per ton and the second type sells for $75 per ton. the farmer wants a total of 100 tons of hay at a cost of $90 per ton. How many tons of each type of hay should be used in the mixture?

A school supplies vending machine has pencils at 2 for a quarter and notebooks at fifty cents each. If the machine accepts only quarters, how many quarters are needed for the purchase of 6 pencils and 2 notebooks?

Peanuts sell for $8.00 per pound and cashews sell for $10.50 per pound.  A merchant wants to sell a mixture of peanuts and cashews.  How many pounds of peanuts and cashews must be used to create 23 pounds of a mixture that will sell for $8.54 per pound?  Round answers off to the nearest whole number.

A complete chair requires 3.05 bolts of fabric to upholster.  A bolt is equal to 116.667 square yards, and fabric costs $5.95 per square foot. How many complete chairs can be made from a budget of exactly $1000?