2 The cereal Fruit Loops is 55 fiberCheerios is 70 fiber Sid

2) The cereal Fruit Loops is 55% fiber.Cheerios is 70% fiber. Sidney combines an amount of the two cereals is a single bowl of mixed cereal that is 65% fiber. If tge bowl contains 12 ounces of cereal, how much of the cereal, in ounces, is Fruit Loops?

Solution

Let

x = amount of fruit loops
12 - x = amount of cheerios

Thus,

x(0.55) + (12-x)(0.70) = 12(0.65)

0.55x + 8.4 - 0.70x = 7.8

-0.15x = -0.6

x = 4

Thus, there are 4 ox of fruit loops. [ANSWER, 4 OUNCES]