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21 votes
21 votes
I am not sure how to solve this

I am not sure how to solve this-example-1
User Dendarii
by
2.3k points

1 Answer

16 votes
16 votes
Answer is
Y = 4 5/7
G = 3 5/7

Step by step

We have 4 Y = yellow circles
We have 3 G = green butterflies

Our equations are

4Y + 3G = 30
G= Y - 1 (because there is 1 less green butterfly than yellow circle)

To solve for Y, substitute G value for G

4Y + 3(Y - 1) = 30 distribute
4Y + 3Y - 3 = 30 combine
7Y -3 = 30 add 3 to both sides
7Y = 33 divide both sides by 7
Y = 4 5/7

To solve for G, substitute Y value for Y

4( 4 5/7) + 3G = 30 distribute
18 6/7 + 3G = 30 subtract 18 6/7 from both sides

3G = 30 - 18 6/7
3G = 11 1/7 divide both sides by 3

G = 3 5/7

Check your work
Sun your Y and G values into your equation

G = Y - 1
3 5/7 = 4 5/7 - 1
3 5/7 = 3 5/7
Yes, they equal so it’s true!

Y = 4 5/7
G = 3 5/7

Problem solved
User Benjamin Hoffman
by
3.1k points