Question

logan has made a fruit salad that is 25% apples. his mother likes fruit salad with 40%apples. assuming that all the fruit weighs the same amount, how many pulds of apples would logan need to add his fruit salad to make 20 pounds to fruitt salad to his mother liking

Answer 1

Logan made x pounds of fruit salad that is 25% apples, or .25x pounds of apples

he will add 20 - x pounds of apples to give 20 pounds of salad all together (x + (20 - x) = 20)

he will end up with 20 pounds of 40% apples, or .40(20) = 8 pounds of apples

these must balance

initial weight of apples + weight of apples added = 8
so .25x + 20 - x = 8
12 = .75x
x = 16

so he already has 16 pounds of fruit salad, which is 4 pounds of apples
he adds 4 pounds of apples, to make 20 pounds of salad which is 8 pounds of apples (or 40%)