SOLUTION: The seventh grade class sold ice cream cones to raise money for a class trip. the ratio of small to medium cones sold was 3 to 1, and the ratio of medium to large cones sold was 9

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The seventh grade class sold ice cream cones to raise money for a class trip. the ratio of small to medium cones sold was 3 to 1, and the ratio of medium to large cones sold was 9       Log On


   



Question 1021974: The seventh grade class sold ice cream cones to raise money for a class trip. the ratio of small to medium cones sold was 3 to 1, and the ratio of medium to large cones sold was 9 to 25. the class sold 27 cones.
A. How many small cones were sold?
B. How many large cones were sold?
C The class sold small cones for $1.50, medium cones for $2.00, and large cones for $2.50. How much money did the class raise?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
:
the ratio of small to medium cones sold was 3 to 1,
s%2Fm = 3%2F1
cross multiply
s = 3m
:
and the ratio of medium to large cones sold was 9 to 25.
m%2FL = 9%2F25
9L = 25m
L = 25%2F9m
the class sold 27 cones.
s + m + L = 27
Replace s and L
3m + m + 25%2F9m = 27
4m + 25%2F9m = 27
multiply equation by 9 to get rid of the denominator
36m + 25m = 243
61m = 243
m = 243/61
m = 3.98, not an integer, something wrong with this problem, perhaps 27 cones is not correct.
If this is the case, just replace 27 with correct value and proceed.
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A. How many small cones were sold?
B. How many large cones were sold?
C The class sold small cones for $1.50, medium cones for $2.00, and large cones for $2.50. How much money did the class raise?