Question

1. If 5 sips + 4 gulps = 1 glass and 13 sip

+ 7 gulps = 2 glasses, how many sips
equal a gulp?

Answer 1

3 sips = 1 gulp

Explanation:

We will solve this problem using the given simultaneous equations. We will use either substitution or elimination. For this problem, we will use elimination.

Let s = No. of sips

Let g = No. of gulps

5s + 4g = 1 -> (1)

13s + 7g = 2 -> (2)

We will multiply the first equation by 7 and multiply the second equation by 4 so that both equations have '28g'.

5s + 4g = 1 -> (1) × 7

13s + 7g = 2 -> (2) × 4

------------------------------

35s + 28g = 7

52s + 28g = 8

We will subtract the second equation from the first equation.

- 17s = - 1

s = - 1 / - 17

s = 1 / 17

We will substitute the obtained value for 's' into the first equation to solve for 'g'.

5 ( 1 / 17 ) + 4g = 1 -> (1)

5 / 17 + 4g = 1

4g = 1 - 5 / 17

g = ( 12 / 17 ) / 4

g = 3 / 17

Therefore, as 3 / 17 ÷ 1 / 17 = 3:

3 sips = 1 gulp

Answer 2

3.5 sips

Explanation:

you divide 7 by 2 and you would get 3.5