. Each cup of coffee costs $1.65 and each cup of hot chocolate costs $1.05. If he pays a total of $14.10 for 10 cups, how many of each does he buy?

Answer 1

Hello, Lillian.

Okay, so let's call the number of cups of coffee he buys , x.

Then, if he buys a total of 10 cups of coffee and chocolate, we can call the number of cups of chocolate he buys, (10 - x)

Now we can set up the equation:

Since he pays 1.65 for each cup of coffee and 1.05 for each cup of chocolate:

1.65x + 1,05(10 - x) = 14.10

Now, solve:

1.65x + 10.50 - 1.05x = 14.10

.60x + 10.50 = 14.10

.60x = 3.60

x = 6

Therefore, he buys 6 cups of coffee.

Also, he buys 10 - 6 = 4 cups of hot chocolate.