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Serggg [28]
3 years ago
5

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?
Mathematics
2 answers:
kotykmax [81]3 years ago
5 0

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 =

\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{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}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 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.

Yuliya22 [10]3 years ago
3 0
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
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Answer:

Its to multiply the numerators by each other and the denominators by each other

Step-by-step explanation:

If adding and subtracting fractions is about finding the least common denominator

dividing fractions is to keep the first fraction,multiply and reverse the second fraction,so dividing is pretty similar to multiplying but just switching the divide sign with a multiplication sign and reversing the second fraction from numerator/denominator to denominator/numerator

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3 years ago
Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends.
Alik [6]

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

2p + 3d = 18.25

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From this, we can use substitution or elimination to solve:

For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.

For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

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18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

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