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# algebra

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A painter bought 24 gallons of paint, just enough to cover two rooms. One is four times the size of the other and requires three coats of paint. The smaller room requires only two coats. Then the cilent decided not to paint the smaller room after all.  How many gallons of paint will be left?

Oct 6, 2020

#1
+10787
+1

A painter bought 24 gallons of paint, just enough to cover two rooms. One is four times the size of the other and requires three coats of paint. The smaller room requires only two coats. Then the cilent decided not to paint the smaller room after all.  How many gallons of paint will be left?

Hello Guest!

$$2x+4\cdot 3x=24gal\\ 14x =24gal\\ x=\frac{12}{7}\ gallons\ color\ per\ layer.$$

$$24gal-4\cdot 3\cdot \frac{12}{7}gal=3\frac{3}{7}gal$$

$$3\frac{3}{7}\ gallons\ of\ paint\ will\ be\ left.$$

!

Oct 6, 2020