Math  /  Algebra

Question(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

Studdy Solution

STEP 1

1. Each box of pasta weighs 13.6 ounces.
2. The recipe requires a total of 95.2 ounces of pasta.
3. We need to determine the number of boxes required to meet the recipe's requirement.

STEP 2

1. Define a variable.
2. Write an equation that models the problem.
3. Solve the equation to find the number of boxes.

STEP 3

Define a variable. Let x x represent the number of boxes of pasta needed.

STEP 4

Write an equation that models the problem. Since each box weighs 13.6 ounces and we need a total of 95.2 ounces, the equation is:
13.6x=95.2 13.6x = 95.2

STEP 5

Solve the equation to find the number of boxes. Divide both sides of the equation by 13.6 to solve for x x :
x=95.213.6 x = \frac{95.2}{13.6}
Perform the division:
x=7 x = 7
Therefore, the number of boxes needed is:
7 \boxed{7}

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