Question

Helen is filling a pool that holds 10 1/2 gallons for her little brother. She can carry 1 7/8 gallons of water each trip. Write and solve an equation to find how many trips Helen needs to make.

Answer 1

Answer:

The equation is given by

y=1 $\frac{7}{8}$ x

where y is the amount of water is the pool and x is the number of trips Helen has made.

To fill the pool, Helen must make 6 trips.

Step-by-step explanation:

The amount of water is the pool y is given by

y=1 $\frac{7}{8}$ x

where x is the number of trips Helen has made. If we wish to find out how many trips she needs to make to fill 10 1/2 gallons in the pool, we solve for x:

y = 10 1/2 = 1 $\frac{7}{8}$ x

10 1/2 = 10.5 and 1  $\frac{7}{8}$  = 1.875. Thus,

10.5 = 1.875 x

x = $\frac{10.5}{1.875}$

= 5.6

Since 5.6 trips makes no sense, we must round up to 6.

Thus, the answer is 6 trips.