Please help solve this word problem system

Question

Katherine works no more than 20 hours each week. Babysitting earns her $8 an hour and working as a hostess earns her $10 per hour. She needs to earn at least $180 each week to save for the car she wants. write and solve a system of linear inequalities that displays all possible combinations of hours she could work at each job to reach her goal.

Answer 1

8B + 10H > 180

4B + 5H < 90

B + H < 20

4B + 4H = 80

H =10

B =10

10+10=20

8(10)+10(10) = 180

she could work 10 hours at each job or other combinations

B H

10 10

5 12

0 18

all give her $180

or other alternatives

B H total

9 11 182

8 12 184

7 13 186

6 14 188

5 15 190

4 16 192

3 17 194

2 18 196

1 19 198

0 20 200