An algebra problem by Prathamesh Samal
Algebra
Level
pending
A merchant sells three different sizes of canned tomatoes. A large can costs 5 medium cans or 7 small cans. If a customer buys an equal number of small and large cans of tomatoes for the same amount of money needed to buy 200 medium cans , how many small cans did she buy ?
208
72
45
199
35
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1 solution
While the relationship among the can price is provided , no actual numbers are supplied so try plugging in some numbers for can prices. The calculations will be easy if you make the large can cost 5 7=$35, which means that the medium can costs 35/5 = $7 , and a small can costs 35/7 = $5 . The amount of money needed to buy 200 medium cans is 200 * $7 = &1,400. Start plugging In those answers. If customer buys 72 small cans , that will cost him 72 5 = $360. If he buys 72 small cans , they are going to buy 72 large cans so 72 35 = $2,520, which means is more than the $1,400 spent on medium cans. Hit and try. Choose 35 small cans so 35 small cans * $5 a can = $175. 35 large cans 35 = $1,225 + $175 = $1400.