1.A candy store owner mixes spearmint candy selling for 99 cent a pound with cin

Question

1.A candy store owner mixes spearmint candy selling for 99 cent a pound with cinnamon candy selling for 89 cent a pound. If there are 10 pounds of mixture selling for 94 cent per pound, how many pounds of each type were mixed together?
2.A small bakery makes cakes and pies every buisness day. They can make a total of 30 items of which at least 5 must be cakes and at least 10 must be pies for their restaurant customers. The profit on each cake is $1.50 and the profit on each pie is $2.00. How many of each should be made in order to maximize the profit?

Explanation / Answer

1. The average of 99 cents and 89 cents is 94 cents. So they could mix 5 lbs of each to get a total of 10 lbs selling for 94 cents. 2. If the bakery needs 5 cakes and 10 pies, then they already have 15 items and they can make 15 more items. They should make the rest of the 15 items pies since they make more profit from the pies. So they would be making a total of 25 pies with a profit of $50 and 5 pies with a profit of $7.50. Totaling a profit of $57.50.

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