Question

the number emails that gareth and hamza recieved last were in the ratio 2:3 julian kyle recieved emails in the ratio 5:4 in total julian and kyle recieved twice as many emails as gareth and hamza combined what is the ratio of the number of emails hamza recieved to the number of kyle recieved give your answerin its simplest form

Answer 1

Gareth and Hamza: multiples of 5

Julian and Kyle: multiples of 9

Common multiples of 45: 0, 45, 90, ...

Gareth and Hamza received 45 e-mails; Julian and Kyle received 90 e-mails.

Gareth and Hamza:

2x + 3x = 45

5x = 45, so x = 9

Gareth received 18 e-mails, and Hamza received 27 e-mails.

Julian and Kyle:

5y + 4y = 90

9y = 90, so y = 10

Julian received 50 e-mails, and Kyle received 40 e-mails.

Hamza/Kyle = 27/40