You are trying to figure out how to spend your summer. You have two options for jobs. Babysitting (b) pays $12 an hour and cleaning houses (c) pays $15 an hour. You would like to make sure you make at least $420 per week. If you work 32 hours cleaning, how many hours do you need to work babysitting to get $420 for the week? If you work 10 hours babysitting, how many hours do you need to work (at least) cleaning houses to reach your goal?

0 hours babysitting, 20 hours cleaning

Step-by-step explanation:

Babysitting equation: 12b

Cleaning houses equation: 15c

What you would like to make: (b or c) = at least 420

15(32) = $480, so you would not need to babysit that week since it is more than $420.

12(10) = 120

15c + 120 = 420

15c = 300

c = 20 hours of cleaning to reach your goal.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w