Question

Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems

Answer 1

Malik 7.6

Vivian 26.6

Explanation:

Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:

V=3.5m where M is the number of hours Malik worked.

We know Vivian works 19 more hours than Malik and that in equation would be:

m+19 = V

So equate the two

3.5m = m+19

3.5m-m=19

2.55m=19

m=7.6

V=7.6+19 = 26.6