SOLUTION: If someone goes on a vacation and buys souvenirs for $10, $3 and $.50 and spends exactly $100 and buys at least one of each item...how do I write an equation to show the relationsh

Algebra ->  Expressions-with-variables -> SOLUTION: If someone goes on a vacation and buys souvenirs for $10, $3 and $.50 and spends exactly $100 and buys at least one of each item...how do I write an equation to show the relationsh      Log On


   



Question 50179: If someone goes on a vacation and buys souvenirs for $10, $3 and $.50 and spends exactly $100 and buys at least one of each item...how do I write an equation to show the relationship?
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
The unknowns are the items, even though we know the prices of each. Because there are 3 prices, there must 3 items, or unknowns. Let a represent the number of items that cost $10, b represent the number of items that cost $3, and c represent the number of items that cost $.50. Because these three totals add up to exactly $100, we have the equation +10a+%2B+3b+%2B+.50c+=+100+.