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Algebra 1

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Ratios, Rates, Proportions

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Proportions

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Proportions 1

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Question 1 of 4

Find the value of

m

$m$

5 : 3 = m : 12

$5:3=m:12$

$m =$ $m=$ (20)

Question 2 of 4

Find the value of

a

$a$

6 : 24 = 2 : a

$6:24=2:a$

$a =$ $a=$ (8)

Question 3 of 4

Find the value of

x

$x$

4 : 5 = 16 : x

$4:5=16:x$

$x =$ $x=$ (20)

Question 4 of 4

Peter and Andrew divided their money in the ratio of

4 : 5

$4:5$ . If Peter obtained

$ 5.40

$$5.40$ , how much did Andrew receive?

$$$ $$$ (6.75)

$5 : 3$ $5:3$	$=$ $=$	$m : 12$ $m:12$

$\frac{5}{3}$ $5/3$	$=$ $=$	$\frac{m}{12}$ $m/(12)$	Convert to fraction form

$3 (m)$ $3(m)$	$=$ $=$	$5 (12)$ $5(12)$	Cross multiply
$3 m$ $3m$ $\div 3$ $divide3$	$=$ $=$	$60$ $60$ $\div 3$ $divide3$	Divide both sides by $3$ $3$
$m$ $m$	$=$ $=$	$20$ $20$

$6 : 24$ $6:24$	$=$ $=$	$2 : a$ $2:a$

$\frac{6}{24}$ $6/(24)$	$=$ $=$	$\frac{2}{a}$ $2/a$	Convert to fraction form

$6 (a)$ $6(a)$	$=$ $=$	$2 (24)$ $2(24)$	Cross multiply
$6 a$ $6a$ $\div 6$ $divide6$	$=$ $=$	$48$ $48$ $\div 6$ $divide6$	Divide both sides by $6$ $6$
$a$ $a$	$=$ $=$	$8$ $8$

$4 : 5$ $4:5$	$=$ $=$	$16 : x$ $16:x$

$\frac{4}{5}$ $4/5$	$=$ $=$	$\frac{16}{x}$ $(16)/x$	Convert to fraction form

$4 (x)$ $4(x)$	$=$ $=$	$16 (5)$ $16(5)$	Cross multiply
$4 x$ $4x$ $\div 4$ $divide4$	$=$ $=$	$80$ $80$ $\div 4$ $divide4$	Divide both sides by $4$ $4$
$x$ $x$	$=$ $=$	$20$ $20$

$4 : 5$ $4:5$	$=$ $=$	$5.40 : x$ $5.40:x$

$\frac{4}{5}$ $4/5$	$=$ $=$	$\frac{5.40}{x}$ $(5.40)/x$	Convert to fraction form

$4 (x)$ $4(x)$	$=$ $=$	$5.40 (5)$ $5.40(5)$	Cross multiply
$4 x$ $4x$ $\div 4$ $divide4$	$=$ $=$	$27$ $27$ $\div 4$ $divide4$	Divide both sides by $4$ $4$
$x$ $x$	$=$ $=$	$6.75$ $6.75$

Proportions 1

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2. Question

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Correct!

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