Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

mark wants to paint a mural. He has 1 1/3 gallons of yellow paint, 1 1/4 gallons of green paint, and 7/8 gallon of blue paint. mark plans to use 3/4 of each paint color. how many gallons of paint will he have left after painting the mural

Sagot :

olemakpadu
Mark has:  1 1/3 = 4/3  gallons of Yellow
                 1 1/4 = 5/4  gallons of Green
                            7/8  gallons of Blue.

Total =  (4/3 + 5/4 + 7/8)    LCM = 24
        =  (32 + 30 + 21)/24 = 83/24  Gallons of Paint in total.

If he used 3/4 of each, he would have (1 - 3/4) = 1/4 of each left.

Therefore gallons left =  1/4 * (83/24) = 83/96 gallons left.
                                                     =  0. 8646 gallons left in total.
calculista

we have

Yellow paint

[tex] 1\frac{1}{3} =(3*1+1)/3\\ \\ =\frac{4}{3} gal [/tex]

Find the
amount of yellow paint left after painting the mural

[tex] (\frac{4}{3} -\frac{3}{4} )=(4*4-3*3)/12\\ \\ =\frac{7}{12} gal [/tex]

Green paint

[tex] 1\frac{1}{4} =(4*1+1)/4\\ \\ =\frac{5}{4} gal [/tex]

Find the
amount of green paint left after painting the mural

[tex] (\frac{5}{4} -\frac{3}{4} )=(5-3)/4\\ \\ =\frac{2}{4} gal [/tex]

Blue paint

[tex] \frac{7}{8}gal [/tex]

Find the
amount of blue paint left after painting the mural

[tex] (\frac{7}{8} -\frac{3}{4} )=(7-2*3)/8\\ \\ =\frac{1}{8} gal [/tex]

Find the
total amount of paint left after painting the mural

[tex] \frac{7}{12} +\frac{2}{4} +\frac{1}{8} =\frac{(2*7+6*2+3*1)}{24} \\ \\ =\frac{29}{24} gal [/tex]

[tex] \frac{29}{24} =1\frac{5}{24} gal [/tex]

therefore

the answer is

[tex] 1\frac{5}{24} gal [/tex]

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.