I need help again

Question

Finley has 152 yellow red and blue marbles in a bag he has seven more red marbles than yellow marbles and three times as many blue marbles as yellow marbles how many yellow marbles does Finley have write an equation to represent the problem then solve the equation

Answer 1

Given: All the yellow, red, and blue equals 152.

So, Y + R + B = 152

These are three variables and you need to have just one variable.

You can get rid of the R by taking the given that R = Y (the number of yellows) + 7.

You can get rid of the B by taking the given that there are three times as many blue as yellow, which is the same as saying yellow times 3.

So, Y + Y + 7 + 3Y = 152

Combine like terms.

So, 5Y + 7 = 152

Subtract out the 7 from both sides to get

5Y = 145

Then divide both sides by 5 to get Y = 29

To check this, say 29 + 36 + 87 = 152 because the middle number must be 7 more than the first, and the last number must be three times the first. Does that all make sense?