Ratio of R to G was 4 : 11; 60% of G exceeded R by 52

[Rozanne]

The ratio of reds to greens was 4-11 and 60% of the greens exceeded the number of reds by 52. how many were red and how many were green?

The answer is Reds= 80 Greens = 220 but i can't figure it out...thank you

 

[Deleted member 4993]

Re: Ratios

The ratio of reds to greens was 4-11 and 60% of the greens exceeded the number of reds by 52. how many were red and how many were green?
The answer is Reds= 80 Greens = 220
but i can't figure it out...thank you

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.

Start with naming variables:

# of Red = R

# of Green = G

The ratio of reds to greens was 4-11 --- I assume it is 4/11

then

R/G = 4/11 .........................(1)

60% of the greens exceeded the number of reds by 52

set up your second equation and solve.

 

[stapel]

The ratio of reds to greens was 4-11 and 60% of the greens exceeded the number of reds by 52. how many were red and how many were green?

Since you are unable to get started, even with picking variables, I will guess that you haven't yet taken algebra, and are needing an arithmetical solution method:

In a representative set of fifteen marbles (?), how many were red? How many were green?

Since 60% is 3/5, and since 5 does not divide evenly into 11, by what could you multiply the number of sets of 15 marbles to make the ratio value for G divisible by 11? What is the new (but equal) form of the ratio?

What is 3/5 of the new ratio value for G?

Is this less or more than the ratio value for R? (That is, if you add 52 to the ratio value for R, do you get 2/3 of the ratio value for G?) If less, then try multiplying the ratio to get larger values. If more, is it enough more? If not enough more, try again multiplying the ratio to get larger values.

If you get stuck, please reply with a clear listing of your work and reasoning so far. Thank you!

Eliz.