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Q32.

Expert-verified

Pre-algebra

Found in: Page 133

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Pasta Machine A pasta machine cost $33. The ingredients to make one batch of pasta cost $.33. The same amount of pasta purchased at a store costs $.99. How many batches of pasta will you have to make for the cost of machine and ingredients to equal the cost of buying the same amount of pasta at the store?

The number of pasta batches is 50.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Given

The cost of pasta machine = $33

The cost of ingredients to make 1 batch of pasta = $0.33

The cost of pasta at the store = $0.99

Step-2 – To determine

We have to find the number of batches of pasta that can be made.

Step-3 – Calculation

Let x = the number of batches of pasta

So the equation is: $33 + 0.33 x = 0.99 x$

Then we solve the equation

$\begin{array}{l} 33 + 0.33 x = 0.99 x write the equation \\ 33 + 0.33 x - 0.33 x = 0.99 x - 0.33 x subtract 0.33x from both sides \\ 33 = 0.66 x simplify \\ \frac{33}{0.66} = \frac{0.66 x}{0.66} divide each side by 0.66 \\ x = 50 simplify \end{array}$

Hence, 50 batches must be made for the cost to be equal in both of the cases.

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