High School

Thank you for visiting 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. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

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 cost of each cup of coffee and each cup of tea.

Answer :

Answer:

Step-by-step 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

:)

Thank you for reading the article 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. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany