Question

The table shows different quantities of flour and the number of cookies that can be made with each quantity of flour. If the relationship between the cups of flour and the number of cookies is proportional, find the value of x.

Flour(cups)=3-6-12
cookies=4-x-16
(dozens)

Answer 1

3/4 = 6/x....3/4 = 6/8...notice that proportions are nothing but equivalent fractions

x = 8

Answer 2

Answer: The value of x = 8

Step-by-step explanation:

We know that if two quantities x and y are directly proportional , then we have following equation :

$\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

If the relationship between the cups of flour and the number of cookies is proportional, then we have following equation to find the value of x will be:

$\dfrac{x}{6}=\dfrac{16}{12}\\\\\Rightarrow\ x=\dfrac{16\times6}{12}\\\\\Rightarrow\ x=8$

Hence, the value of x = 8