3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14.20First we rearrange (1) to get 2C = £7.80 - 3T and substitute this into (2) to get 5T + 2(7.80-3T) = 14.20. This can solved to give T=£1.40.Then T=1.40 can be substituted into either (1) or (2) to give C=1.80

EP
Answered by Emily P. Maths tutor

8327 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Express 60 as a product of its prime factors.


Jason and Mary leave their houses at the same time. They travel towards each other, Mary at 20km/h and Jason at 15km/h. They pass each other after an hour and a half. What was the original distance between them when they started?


The Tour de France is 2162miles long. A cyclist knows his average speed his 12.37 miles/hour from his previous races. For the Tour de France the cyclist knows he will cycle for 10 hours a day. Estimate how many days it will take him to complete the race.


Solve equations 2x+y=9 and x+2y=6 to find x and y.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences