Question

A snack mix requires exactly 120 ounces of some corn cereal (x) and some wheat cereal (y). Corn cereal comes in 10-ounce boxes. The last time you made this mix, you used 6 boxes of corn cereal and 4 boxes of wheat cereal.

a. Use the given information to write a standard form equation.
b. How many ounces come in a box of wheat cereal?

Answer 1

The standard form equation is 10x + 4y = 120. Each box of wheat cereal contains 10 ounces.

Step-by-step explanation:

To write the equation in standard form, we need to express the total number of ounces of cereal in terms of x (the number of boxes of corn cereal) and y (the number of boxes of wheat cereal).

Since each box of corn cereal contains 10 ounces, the total number of ounces of corn cereal is 10x.

The total number of ounces of wheat cereal is given as 4 boxes, so it is 4y.

The total number of ounces of cereal is the sum of these two quantities, so the equation in standard form is 10x + 4y = 120.

To find the number of ounces in a box of wheat cereal, we know that the equation is 10x + 4y = 120 and we used 6 boxes of corn cereal (x) and 4 boxes of wheat cereal (y).

Substituting these values into the equation, we get 10(6) + 4(4) = 120.

Simplifying the equation, we have 60 + 16 = 120.

By subtracting 60 from both sides of the equation, we find that 4y = 40.

Dividing both sides of the equation by 4, we get y = 10.

Therefore, each box of wheat cereal contains 10 ounces.