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Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.55 and each cup of hot chocolate costs $1.00. If he pays a total of $11.30 for 8 cups, how many of each does he buy?

Nathan buys
cups of coffee and
cups of hot chocolate.

User Whisht
by
8.2k points

1 Answer

3 votes

Answer:

  • 6 cups of coffee
  • 2 cups of hot chocolate

Explanation:

Let x represent the number of cups of coffee. The total outlay was ...

1.55x + 1.00(8 -x) = 11.30

0.55x = 11.30 -8.00 . . . . . . simplify, subtract 8

x = 3.30/0.55 = 6 . . . . . . . divide by the coefficient of x

Nathan buys 6 cups of coffee and 2 cups of hot chocolate.

User John Dorian
by
8.7k points

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