A cup of rolled oats (

x

x) provided

310

310 calories. A cup of wheat flakes (

y

y) provided

290

290 calories. A new breakfast cereal combines wheat and oats to provide

302

302 calories per cup. How much of each grain does

1

1 cup of the cereal contain?

Let z be the percent of the cup that is oats.

Therefore 310*z + 290 * (1-z) = 302.

310z-290z+290=302.

20z=12 z=12/20 =.6.

Therefore the new cereal is 60% oats and 40% wheat flakes.

A cup of the cereal then contains 3/5 cup of oats, and 2/5 cup of wheat flakes.