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1. The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days. Which ratio shows the number of chlorine tablets needed for 42 days?
A. 14 to 42
B. 15 to 42
C. 19 to 42
D. 3 to 42

2. The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days?
A. 5 to 20
B. 8 to 20
C. 7 to 20
D. 3 to 20

3. Find the ratio that is equivalent to 10:5.
A. 15:5
B. 5:10
C. 2:1
D. 5:1

Respuesta :

calculista

Answer:

Part 1) option B [tex]\frac{15}{42}[/tex]

Part 2) option B [tex]\frac{8}{20}[/tex]

Part 3) option C [tex]2:1[/tex]

Step-by-step explanation:

Part 1)

we know that

By proportion

[tex]\frac{5}{14}=\frac{x}{42}\\ \\14x=5*42\\ \\ x= 5*42/14\\ \\x=15[/tex]

so

the ratio is equal to

[tex]\frac{15}{42}[/tex]

Part 2)

we know that

By proportion

[tex]\frac{2}{5}=\frac{x}{20}\\ \\5x=2*20\\ \\ x= 40/5\\ \\x=8[/tex]

so

the ratio is equal to

[tex]\frac{8}{20}[/tex]

Part 3) we know that

The ratio [tex]10:5[/tex] is equal to [tex]\frac{10}{5}=\frac{2}{1}[/tex]

and

[tex]\frac{2}{1}[/tex] is equal to [tex]2:1[/tex]

therefore

the answer is the option C

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