Respuesta :
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:
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.
Step-by-step 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 =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]
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 =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]
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.