Question

ameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below. Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x. Which best describes the error that Sameer made? Sameer did not use the correct equation to model the given information. Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12. The product of Three-fourths(12) is not equal to 9. The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.

Answer 1

"Sameer did not use the correct equation to model the given information" describes the error that Sameer made.

Given:

Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop.

To find:

The error that Sameer made to find the number of different toppings available at the shop.

Solution:

Let's consider that there are 'x' total toppings.

The equation then becomes

$\frac{3 \times x}{4}=12$

$x=\frac{12 \times 4}{3}$

$x=\frac{48}{3}$

$x=16$

Therefore, there are 16 toppings in total.

Hence, "Sameer did not use the correct equation to model the given information" describes the error that Sameer made.

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