Question

If 5 sips +4 gulps = 1 glass and 13 sips +7 gulps = 2 glasses, how many sips equal a gulp?

Answer 1

3 sips equal a gulp

Explanation:

we have

`5sips+4gulps=1glass` ----> equation A

`13sips+7gulps=2glass`

Divide by 2 both sides

`6.5sips+3.5gulps=1glass` ----> equation B

equate equation A and equation B

`5sips+4gulps=6.5sips+3.5gulps`

Group terms that contain the same variable

`4gulps-3.5gulps=6.5sips-5sips`

`0.5gulps=1.5sips`

`gulps=(1.5/0.5)sips`

`gulps=3sips`

therefore

3 sips equal a gulp