The two cereal boxes shown have corresponding edges in a ratio of 2:3.If the smaller box sells for $2.50 and the larger box for $4.00, which is the better buy? Why? What assumption(s) do you have to make when solving

the problem? Estimate, then check.

I think the answer is the larger box, but when I tried taking the cost and dividing it by it's ratio, I got the large box is 1.33 and the small is 1.25. But I know that in Walmart, the larger box is always a better deal.

Help!

1 answer

Condsider the volume ratio. If all three sides are in that ratio, then the volume ratio is (2:3)^3 or 8:27 that means the volume of the larger is 27/8=3.37 as much as the smaller.

multiply the 2.50 by 3.37 to get the equivalent price for the larger, but the larger is much less than this, so the larger is by far the best buy.