Question

Sameer choose 12 different toppings for his frozen yogurt sundae, which was 3/4 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.


3/4 = x/12
3/4 (12) = x/12 (12)
9=x


Which best describes the error that Sameer made when solving the equation?

Sameer did not use the correct equation to model the given information.

Sameer should have multiplied both sides of the equation by 4/3 instead of by 12.
The product of 3/4 (12) is not equal to 9.

The product of 3/4 and 1/12 should have been the value of x.

Answer 1

she did not use the correct equation

3/4 of what = 12
3/4x = 12
x = 12 * 4/3
x = 48/3
x = 16

Answer 2

Answer

The correct statement describe the Sameer error is Sameer did not use the correct equation to model the given information.

Reason

As given

Sameer choose 12 different toppings for his frozen yogurt sundae which $\frac{3}{4}$ was of the total number of different toppings available at the make-your-own sundae shop.

Let us assume that the total number of toppings be x.

Than the equation becomes

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

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

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

x = 16

Thus the total number of toppings are 16.