College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.3 - Page 136: 92

Answer

Grandma Mary would pay $12 for $2$ kg of bananas

Work Step by Step

If Grandma Mary paid $15$ dollars for $2.5$ kg of bananas, how much would she pay for $2$ kg? STEP 1: Grandma Mary paid $15$ dollars for $2.5$ kg of bananas. STEP 2: To get the price for $1$ kg of bananas, divide the price by the quantity: $$ \frac{$15}{2.5\text{ kg}}$$ STEP 3: To get the unit rate, divide the numerator and the denominator by $2.5$: $$ \frac{$15 \div 2.5}{2.5\text{ kg} \div 2.5}$$ STEP 4: Divide the numbers: $$\frac{$ 6}{1\text{ kg}}$$ STEP 5: Therefore, the price is $6$ dollars per kg. STEP 6: To get the price of $2$ kg of bananas, multiply it by the price per $1$ kg: $$2\text{ kg} * ($6/1\text{ kg}) = \$12$$
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