Activity 3: Am I IN or OUT!Directions: The following are pairs of equivalent rat...

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October 2022 1 2 Report

Activity 3: Am I IN or OUT!

Directions: The following are pairs of equivalent ratios with missing term
denoted by n. On the right side are possible values of n. Check whether the
value of n suits the given pair of ratios to make it equivalent. Write IN if the
missing term of the given ratios is correct and OUT if it is not then give the
correct value of n. You can use an extra sheet of paper for your solutions.

1) 5 : 15 = n :30
2) n : 18 = 2 : 6
3) 7 : 21 = 10 : n
4) 4 :6 = n : 27
5) 6 : n = 8 : 12

n = 10
n = 8
n = 30
n = 12
n = 9

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MaximoRykei

Verified answer

Answer:

Directions: The following are pairs of equivalent ratios with missing term denoted by n. On the right side are possible values of n. Check whether the value of n suits the given pair of ratios to make it equivalent. Write IN if the missing term of the given ratios is correct and OUT if it is not then give the correct value of n. You can use an extra sheet of paper for your solutions.

1) 5 : 15 = n :30; n = 10

$\tt \: 5 : 15 = 10 :30 \\ \\ \tt \: 5 \times 30 = 15 \times 10 \\ \\ \tt \: 150 = 150$

Therefore, the given pair of ratio is equivalent

2) n : 18 = 2 : 6; n = 8

OUT

$\tt \: 8 : 18 = 2 : 6 \\ \\ \tt \: 8 \times 6 = 18 \times 2 \\ \\ \tt \: 48 ≠36$

Therefore, the given pair of ratios is not equivalent

To find the equivalent ratios follow the given steps

Cross multiply
Divide both sides

$\tt \: n : 18 = 2 : 6 \\ \\ \tt \: n \times 6 = 18 \times 2 \\ \\ \tt 6n = 36 \\ \\ \tt \: \dfrac{ \cancel{6}n}{ \cancel6} = \dfrac{36}{6} \\ \\ \tt \: \orange{n = 6}$

Therefore, the correct value of n is 6

Checking:

$\tt \: 6 : 18 = 2 : 6 \\ \\ \tt \: 6 \times 6 = 2 \times 18 \\ \\ \tt \: 36 = 36$

Hence, proved

3) 7 : 21 = 10 : n; n = 30

$\tt \: 7 : 21 = 10 : 30 \\ \\ \tt \: 7 \times 30 = 21 \times 10 \\ \\ \tt \: 210 = 210$

Therefore, the given pair of ratios is equivalent

4) 4 :6 = n : 27; n = 12

OUT

$\tt \: 4 :6 = 12 : 27 \\ \\ \tt \: 4 \times 27 = 6 \times 12 \\ \\ \tt \: 108 ≠72$

Therefore, the given pair of ratios is not equivalent

To find the equivalent ratios follow the given steps

Cross multiply
Divide both sides

$\tt \: 4 :6 = n: 27 \\ \\ \tt \: 4 \times 27 = 6 \times n \\ \\ \tt \: 108 = 6n \\ \\ \tt \: \dfrac{108}{6} = \dfrac{ \cancel{6}n}{ \cancel{6}} \\ \\ \tt \: \orange{18 = n}$