SOLUTION: Evan has a problem. As part of his job, he is responsible for stocking and monitoring the inventory of chewing gum at a number of convenience and grocery stores. The gum is sold in

Question 766635: Evan has a problem. As part of his job, he is responsible for stocking and monitoring the inventory of chewing gum at a number of convenience and grocery stores. The gum is sold in individual packs for $1.19 per pack, and in 10-pack bags for $7.50. Unfortunately, he has lost his paperwork for one of the stores. He doesn't know how many packs of gum were sold individually and how many packs of gum were sold as part of a 10-pack. If he can't work backwards to find the answer, he'll be in big trouble with his boss. Let's see if we can help, and show how much we've learned about systems of equations at the same time. This is what Evan does know: 500 packs of gum were sold, and the total sales were $515.80. Write two equations to model the situation.
I have looked at this problem for about an hout. I seem to feel like I make it harder than it seems.
Answer by MathTherapy(10549) (Show Source): You can put this solution on YOUR website!

Evan has a problem. As part of his job, he is responsible for stocking and monitoring the inventory of chewing gum at a number of convenience and grocery stores. The gum is sold in individual packs for $1.19 per pack, and in 10-pack bags for $7.50. Unfortunately, he has lost his paperwork for one of the stores. He doesn't know how many packs of gum were sold individually and how many packs of gum were sold as part of a 10-pack. If he can't work backwards to find the answer, he'll be in big trouble with his boss. Let's see if we can help, and show how much we've learned about systems of equations at the same time. This is what Evan does know: 500 packs of gum were sold, and the total sales were $515.80. Write two equations to model the situation.
I have looked at this problem for about an hout. I seem to feel like I make it harder than it seems.

Let amount of single packs and 10-packs be S, and T, respectively

Since 500 packs were sold, then we can say that: ---- eq (i)

Since total sales = $515.80, then: ---------- eq (ii)
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