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kicyunya [14]
3 years ago
6

Please help answer number 18.

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0
<h2>Explanation:</h2>

First of all, we need to know that:

1 \ quart =\frac{1}{4} \ gallon

From the problem, we know that:

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

Converting gallon to quarts:

<u>For Angela:</u>

2\frac{1}{2}gallon=2.5gallon(\frac{4quarts}{1gallon})=10quarts

<u>For Ryou:</u>

1\frac{1}{4}gallon=1.25gallon(\frac{4quarts}{1gallon})=5quarts

<h3>Part 1. How many walls will be blue and how many walls will be white?</h3>

Number of blue walls:

\text{Nro blue walls}=\frac{10}{2\frac{3}{4}}=\frac{10}{2.75}=\frac{40}{11}=\frac{33+7}{11}=3\frac{7}{11}

So we can paint 3 walls.

Number of white walls:

\text{Nro blue walls}=\frac{5}{2\frac{3}{4}}=\frac{5}{2.75}=\frac{20}{11}=\frac{11+9}{11}=1\frac{9}{11}

So we can paint just one wall.

<h3>Part 2. How much paint will be left over?</h3><h3></h3>

For blue paint:

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

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

For white paint:

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

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

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