Asked by allie
The ratio of the number of Mimi’s Eminem cd’s to the number of Rita’s Eminem cd’s is 5:8. Rita has 18 more Eminem cd’s than Mimi. If Rita gives 22cd’s to Mimi, what will be the new ratio of the number of Mimi’s Eminem cd’s to Rita’s?
i am lost
i am lost
Answers
Answered by
Bosnian
M = Mimi’s cd’s
R = Rita’s cd’s
The ratio of the number of Mimi’s Eminem cd’s to the number of Rita’s Eminem cd’s is 5:8 mean:
M / R = 5 / 8
Rita has 18 more Eminem cd’s than Mimi mean:
R = M + 18
Now you have system of 2 equations with 2 unknow.
M / R = 5 / 8 and R = M + 18
M / R = 5 / 8 Multiply both sides by R
M = 5 R / 8 Multiply both sides by 8
8 M = 5 R
Your system become:
R = M + 18
8 M = 5 R
Replace R = M + 18 into equation 8 M = 5 R
8 M = 5 ( M + 18 )
8 M = 5 M + 5 * 18
8 M = 5 M + 90 Subtract 5 M to both sides
8 M - 5 M = 5 M + 90 - 5 M
3 M = 90 Divide both sides by 3
M = 90 / 3
M = 30
Mimi has 30 cd’s
Rita has:
R = M + 18 = 30 + 18 = 48
R = 48
Rita has 48 cd’s
If Rita gives 22cd’s to Mimi she will have 48 - 22 = 26 cd
Mimi will have 30 + 22 = 52 cd
The new ratio of the number of Mimi’s cd’s to Rita’s cd’s will be:
M / R = 26 / 52 = 26 / 2 * 26 = 1 / 2
R = Rita’s cd’s
The ratio of the number of Mimi’s Eminem cd’s to the number of Rita’s Eminem cd’s is 5:8 mean:
M / R = 5 / 8
Rita has 18 more Eminem cd’s than Mimi mean:
R = M + 18
Now you have system of 2 equations with 2 unknow.
M / R = 5 / 8 and R = M + 18
M / R = 5 / 8 Multiply both sides by R
M = 5 R / 8 Multiply both sides by 8
8 M = 5 R
Your system become:
R = M + 18
8 M = 5 R
Replace R = M + 18 into equation 8 M = 5 R
8 M = 5 ( M + 18 )
8 M = 5 M + 5 * 18
8 M = 5 M + 90 Subtract 5 M to both sides
8 M - 5 M = 5 M + 90 - 5 M
3 M = 90 Divide both sides by 3
M = 90 / 3
M = 30
Mimi has 30 cd’s
Rita has:
R = M + 18 = 30 + 18 = 48
R = 48
Rita has 48 cd’s
If Rita gives 22cd’s to Mimi she will have 48 - 22 = 26 cd
Mimi will have 30 + 22 = 52 cd
The new ratio of the number of Mimi’s cd’s to Rita’s cd’s will be:
M / R = 26 / 52 = 26 / 2 * 26 = 1 / 2
Answered by
Reniey
does that mean that the new ratio is 1:2
Answered by
sofia
I dont think that the ratio is right
Answered by
allie
i think it's right
Answered by
Reniey
thanks
Answered by
Sarayu
The ratio is 2:1 there is a mistake somewhere, but its small.
Answered by
Bobby
yah the overall concept and math are correct, but there's a small mistake somewhere so the ration turned out to be 1:2 instead of the correct answer which is actually 2:1
Answered by
your mom
the ratio is 2:1
Answered by
Siluna
The ratio is 2:1
Answered by
karate
im confused. can someone explain this in simpler terms?
Answered by
your dad
give me a thumbs up and when we reach to 1M I AM GOING TO GIVE OUT FREE ALIENWARE PC'SSSS
Answered by
Anonymous
the ratio is 2:1
Answered by
HI
It's 2:1 I checked it
Answered by
Anonymous
The ratio is 2:1
Answered by
911
its not 1/2 its 2/1 there is a mistake somewhere I know and I found it its a simple computation mistake. but anyways hope this helps! and I am the police btw I was informed on this problem.
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