Question

Bone-shaped treats are 5 for $3.50 at Shelley's store and Sarah wants to buy 12. She set up and solved this proportion to find how much they would cost. Describe her error and find the correct solution. (5/3.5)=(12/x) 3.5x=60 x=17.14.

Answer 1

Answer:

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Step-by-step explanation:

Sarah's calculation

Let

x = cost of 12 Bone-shaped treats

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

(5/3.5) = (12/x)

Cross product

3.5x=60 (Here is her error)

x=17.14

Correct calculation

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

5 / 3.5 = 12 / x

Cross product

5 * x = 3.5 * 12

5x = 42

x = 42 / 5

= 8.4

x = $8.4

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Instead of multiplying Quantity of Bone-shaped treats by cost

Answer 2

Answer:

Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.

Step-by-step explanation:

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