Please help answer number 18.

Question

asked Sep 1, 2021 49.8k views

1 Answer

Bojan Ilievski · Answer 1 · 2021-09-06T08:24:48+0000

First of all, we need to know that:

$1 \ quart =(1)/(4) \ gallon$

From the problem, we know that:

$\bullet \ \text{Angela has} \ 2(1)/(2) \ \text{gallon of blue paint} \\ \\ \bullet \ \text{Ryou has half as much white paint} \ (1(1)/(4) \ gallon)$

Converting gallon to quarts:

For Angela:

2(1)/(2)gallon=2.5gallon((4quarts)/(1gallon))=10quarts

For Ryou:

1(1)/(4)gallon=1.25gallon((4quarts)/(1gallon))=5quarts

Number of blue walls:

$\text{Nro blue walls}=(10)/(2(3)/(4))=(10)/(2.75)=(40)/(11)=(33+7)/(11)=3(7)/(11)$

So we can paint 3 walls.

Number of white walls:

$\text{Nro blue walls}=(5)/(2(3)/(4))=(5)/(2.75)=(20)/(11)=(11+9)/(11)=1(9)/(11)$

So we can paint just one wall.

For blue paint:

We can solve this by a rule of three as follows:

$1walls ----------2(3)/(4)quarts \\ \\ (7)/(11)walls ---------xquarts \\ \\ \\ x=((7)/(11))(2(3)/(4))=(7)/(4) \ \text{quarts left over}$

For white paint:

We can solve this by a rule of three as follows:

$1walls ----------2(3)/(4)quarts \\ \\ (9)/(11)walls ---------xquarts \\ \\ \\ x=((9)/(11))(2(3)/(4))=(9)/(4) \ \text{quarts left over}$