Answer:
1. 5
2. 3
3. 6
4. 6
5. 10
Step-by-step explanation:
Rewrite ratio into fraction.
1. 12 : n = 36 : 15
[tex] \frac{12}{n} = \frac{36}{15} [/tex]
Cross multiplication
(12)(15) = 36n
180 = 36n
then divide both sides by 36
[tex] \frac{180}{36} = \frac{36n}{36} [/tex]
n = 5
2. n : 10 = 12 : 40
[tex] \frac{n}{10} = \frac{12}{40} [/tex]
40n = (12)(10)
40n = 120
[tex] \frac{40n}{40} = \frac{120}{40} [/tex]
n = 3
3. 7 : 2 = 21 : n
[tex] \frac{7}{2} = \frac{21}{n} [/tex]
7n = (21)(2)
7n = 42
[tex] \frac{7n}{7} = \frac{42}{7} [/tex]
n = 6
[tex]4. \: \frac{20}{3} = \frac{40}{n} [/tex]
20n = (40)(3)
20n = 120
[tex] \frac{20n}{20} = \frac{120}{20} [/tex]
n = 6
[tex]5. \: \frac{36}{40} = \frac{9}{n} [/tex]
36n = (9)(40)
36n = 360
[tex] \frac{36n}{36} = \frac{360}{36} [/tex]
n = 10
