Question

Olivia works two part-time jobs. Each week Olivia works no fewer than 20 total hours at the two jobs, and she always spends at least 5 more hours working as a math tutor than she spends working at the grocery store. Which system of inequalities represents the number of working hours, t, as a math tutor and the number of working hours, s, at the grocery store?

Answer 1

t + s >= 20 and t > = s + 5

Explanation:

Let the number of working hours as a math tutor be t and the number of working hours at the grocery store be s.

It is told that Olivia works no fewer than 20 total hours at the two jobs.

So,

number of working hours as a math tutor + number of working hours at the grocery store >= 20

=> t + s >= 20 ____(1)

Again, it is told that she always spends at least 5 more hours working as a math tutor than she spends working at the grocery store.

So,

number of working hours as a math tutor >= number of working hours at the grocery store + 5

=> t > = s + 5 ____(2)