Question

The cost of a bagel at Tim Horton’s is $0.99 and the cost of a large coffee is $1.29. If Derek purchases 4 more bagels than large coffees and spends $10.80 total, how many of each did he purchase?

Answer 1

7 Bagels and 3 Large Coffee

Explanation:

Represent Large Coffee with L and Bagel with B.

We have that:

`0.99B + 1.29L = 10.80` ---- Amount spent

and

`B = L + 4` ---- Quantity

Required

Determine the value of L and B

Substitute L + 4 for B in the first equation

`0.99B + 1.29L = 10.80`

`0.99(4 + L) + 1.29L = 10.80`

Open Bracket

`3.96 + 0.99L + 1.29L = 10.80`

`3.96 + 2.28L = 10.80`

Collect Like Terms

`2.28L = 10.80 - 3.96`

`2.28L = 6.84`

Solve for L

`L = 6.84/2.28`

`L = 3`

Recall that

`B = 4 + L`

`B = 4 + 3`

`B = 7`