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

Answer:

7 Bagels and 3 Large Coffee

Step-by-step 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

$B = 4 + L$

$B = 4 + 3$

$B = 7$