Question

For a recipe, George uses 4 cups of sugar for every 5 cups of flour. Which of thefollowing show equivalent ratios for sugar to flour?

Answer 1

Question:

For a recipe, George uses 4 cups of sugar for every 5 cups of flour. Which of the

following show equivalent ratios for sugar to flour?

The question implies that the ratio of sugar to flour is given below as

`4\colon5=(4)/(5)`

Concept:

To get the equivalent ratios, the numerator or denominator must have the same multiplier or same divisor

In the case we will consider the multiples of 4 which are 8 and 12

step 1:

We have to look for the number of cups of flour used when 8 cups of sugar are used

`\begin{gathered} 4\text{ cups of sugar=5 cups of flour} \\ 8\text{ cups of sugar will be = x cups of flour} \end{gathered}`

Cross multiply the above expression, we will have

`\begin{gathered} 4* x=8*5 \\ 4x=40 \\ \text{divide both sides by 4} \\ (4x)/(4)=(40)/(4) \\ x=10 \end{gathered}`

Therefore,

For 8 cups of sugar, he will use 10 cups of flour

Step 2:

We have to look for the number of cups of flour used when 12 cups of sugar are used

`\begin{gathered} 4\text{ cups of sugar = 5 cups of flour} \\ 12\text{ cups of sugar = y cups of flour} \end{gathered}`

C