A candy store sells boxes of candy containing caramelsand cremes. Each box sells

Question

A candy store sells boxes of candy containing caramelsand cremes. Each box sells for $12.50 and holds 30 pieces ofcandy (all pieces are the same size). If the caramels cost$0.25 to produce and the cremes cost $0.45 to produce, howmany of each should be in a box to make a profit of $3? Thanks for your help! A candy store sells boxes of candy containing caramelsand cremes. Each box sells for $12.50 and holds 30 pieces ofcandy (all pieces are the same size). If the caramels cost$0.25 to produce and the cremes cost $0.45 to produce, howmany of each should be in a box to make a profit of $3? Thanks for your help!

Explanation / Answer

let x be the number of caramels in a box then there will be 30 - x of cremes in a box 0.25x + 0.45(30 - x) = 12.5 - 3 0.25x +13.5 - 0.45x = 9.5 -0.2x = -4       x = 20 so answer is 20 caramels and 10 cremes in a box in order to make aprofit of 3 dollars per box

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