Question

Mark wants to paint a mural. He has 1
1
7
gallons of yellow paint, 1
1
8
gallons of green paint, and
7
8
gallon of blue paint. Mark plans to use
3
4
gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.

Answer 1

The amount of paint that left with Mark = 25/28

Given:

Mark wants to paint a mural.

Amount of yellow paint he had =  1 1/7 gallons

Amount of green paint he had =  1 1/8 gallons

Amount of blue paint he had =  7/8 gallons  

Mark plans to use 3/4 gallons of each paint color

To find:

How many gallons of paint will he have left after painting the mural?  

Solution:

Complete question:

Mark wants to paint a mural. He has 1 1/7 gallons of yellow paint, 1 1/8 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 gallons of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.

Given

Amount of yellow paint he had =  1 1/7 = 8/7 gallons

After using 3/4 of the paint,

Remaining paint = $\frac{8}{7} - \frac{3}{4}$

= $\frac{32 - 21}{28}$ = $\frac{11}{28}$

Amount of green paint he had =  1 1/8 = 9/8 gallons

After using 3/4 of the paint

Remaining paint = $\frac{9}{8} - \frac{3}{4}$  

= $\frac{9 - 6}{8}$  = $\frac{3}{8}$    

Amount of blue paint he had = 7/8 gallons    

After using 3/4 of the paint

Remaining paint = $\frac{7}{8} - \frac{3}{4}$  = $\frac{7 - 6 }{8} = \frac{1}{8}$

By the above calculations

The amount of paint that is left with Mark = $\frac{11}{28} +\frac{3}{8} + \frac{1}{8}$

= $\frac{11}{28} +\frac{4}{8}$

= $\frac{11}{28} +\frac{1}{2}$

= $\frac{11 + 14}{28} = \frac{25}{28}$  

Therefore,

The amount of paint that left with Mark = 25/28  

#SPJ1