Math HW i Need Help

Question

The Jackson family and the Bell family each used their sprinklers last summer. The water output rate for the Jackson family's sprinkler was 35L per hour. The water output rate for the Bell family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 70 hours, resulting in a total water output of 2600L . How long was each sprinkler used?

Answer 1

X is the watering time for the Jackson family.

Y is the watering time for the Bell family.

X+Y = 70 <--- the combined watering time is 70 hours

35X + 40Y = 2600 <--- the total amount of water used is 2600 liters, per the given rates

X = 70- y

35(70-y) + 40y = 2600

2450 - 35y + 40y = 2600

2450 + 5y = 2600

5y = 150

y = 30

x = 40

The Jackson family used 40 hours of watering, which results in 40*35 = 1400 liters

The Bell family used 30 hours of watering, which results in 30*40 = 1200 liters.

The total amount of water used is in fact 2600.