ShoppingDate: 8/26/96 at 18:48:14 From: Anonymous Subject: Spending money Please help me solve the following. I am completely lost. A shopper has $62.00 to spend. Her shopping list includes a $16.95 purse, a $21.00 shirt, and a $39.50 telephone. She must pay 6 percent sales tax on her purchases. Which items should she buy if she wants to spend as much of the $62.00 as possible? What would the amount be? She can buy more than one of the same item. Date: 8/27/96 at 13:20:49 From: Doctor Robert Subject: Re: Spending money If the shopper must pay sales tax of 6 percent, then the maximum amount that she can spend (before taxes) can be calculated as follows. Let x be the amount she can spend. Then .06x is the tax. Then x + .06x = 62 or 1.06x = 62. Dividing by 1.06 we find that x = $58.49. Now WHAT should she buy? You just have to try different combinations, but offhand it seems to me that maybe 2 purses and a shirt would be close to the maximum since 2 times $16.95 + $21.00 = $54.90. Check it out! -Doctor Robert, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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