Question

Alex and ben go to a cafe with some friends.

alex buys 4 cups of coffee and 3 cups of tea. he paid a total of £6.95.
Ben buys 5 cups of coffee and 2 cups of tea. He pays a total of £7.20.
work out the total cost of each cup of coffee in the cost of each cup of tea

Answer 1

Explanation:

Assume the cost for a cup of coffee is x and the cost for a cup of tea is y.

For Alex: 4x+3y=6.95

For Ben 5x+2y=7.20

Then multiply Alex's cost by 2 and Ben's by 3 to cancel y.

8x+6y=13.90

15x+6y=21.60

Equation 2 minus equation 1 would be

15x+6y-(8x+6y)=15x+6y-8x-6y=7x

21.60-13.90=7.70

7x=7.70

Then x=1.10 and plugging it one of the equations,

y= 0.85

A cup of coffee costs 1.10 pounds and A cup of tea is 0.85 pounds

:)