Question

Keith uses 18 cherries and 3 peaches to make a pie filling. Lena uses an equivalent ratio of cherries to peaches when she makes pie filling. Can Lena use a ratio of 21 cherries to 6 peaches?

Answer 1

No, she cannot use a ratio of 21 to 6. You can figure this out in a few different ways. First you can simplify down the fraction 18/3, to get 6/1. 6/1 does not equal 21/6, because 21/6 equals 7/2. However, 6/1 it does equal 36/6. You could also noticed that three doubles to make six, yet 18 does not double to make 21

Answer 2

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

Explanation:

We are given the following in the question:

Keith uses 18 cherries and 3 peaches to make a pie filling

We find the ratio of number of cherries to number of peaches in the pie.

Equivalent Ratio =

`\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = (18)/(3) = (6)/(1) = 6:1`

This ration can be interpreted as:

There are 6 cherries in the pie for every 1 peach in the pie.

We have to check whether Lena can use a ratio of 21 cherries to 6 peaches.

Lena's ratio of number of cherries to number of peaches in the pie =

`\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = (21)/(6) = (7)/(2) = 7:2 \\eq 6:1`

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.