SOLUTION: It costs m dollars to buy 64 cans of soda, at the same rate how many dollars will it cost to buy 48 cans?

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Question 1103349: It costs m dollars to buy 64 cans of soda, at the same rate how many dollars will it cost to buy 48 cans?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if it costs m dollars to buy 64 cans, then the cost per can is m/64 for 1 can, which can be shown as 1/64 * m.

at the same price of 1/64 * m for each can of soda, it will cost 48 * 1/64 * m for 48 cans.

this can be shown as 48/64 * m.

48/64 can be simplified to 3/4.

the cost for 48 cans will be 3/4 * m.

if you set up a ratio equation, you get the same answer.

m / 64 = x / 48 is the ratio equation.

m is the cost of 64 cans and x is the cost of 48 cans.

cross multiply and you get 48 * m = 64 * x.

divide both sides of this equation by 64 to get 48/64 * m = x

since x represents the cost of 48 cans, your solution is that the cost of 48 cans will be 48/64 * m which simplifies to 3/4 * m.