Question

Please help answer number 18.

Answer 1

Step-by-step explanation:

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`

Part 1. How many walls will be blue and how many walls will be white?

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.

Part 2. How much paint will be left over?

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}`