33.A juice company manufactures one-gallon bottles of three types of juice blends using orange, pineapple, and mango juice. The blends have the following compositions:
1 gallon orange blend: 3 quarts of orange juice, 0.75 quart of pineapple juice, 0.25 quart of mango juice.
1 gallon pineapple blend: 1 quart of orange juice, 2.5 quarts of pineapple juice, 0.5 quart of mango juice.
1 gallon mango blend: 0.5 quart of orange juice, 0.5 quart of pineapple juice, 3 quarts of mango juice.
How many gallons of each blend can be manufactured if 7,600 gallons of orange juice, 4,900 gallons of pineapple juice, and 3,500 gallons mango juice are available? Write a system of linear equations and solve.