Answer:
7.
8.
9.
10.
Solution:
First, apply the cross multiplication method to each given. Then, do substitution if necessary.
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Answer:
7.![\sf \Large \bold{ \blue{n = 3.75}} \sf \Large \bold{ \blue{n = 3.75}}](https://tex.z-dn.net/?f=%20%5Csf%20%5CLarge%20%5Cbold%7B%20%5Cblue%7Bn%20%3D%203.75%7D%7D)
8.![\sf \Large \bold{ \blue{n = 5}} \sf \Large \bold{ \blue{n = 5}}](https://tex.z-dn.net/?f=%20%5Csf%20%5CLarge%20%5Cbold%7B%20%5Cblue%7Bn%20%3D%205%7D%7D)
9.![\sf \Large \bold{ \blue{n = 2.8}} \sf \Large \bold{ \blue{n = 2.8}}](https://tex.z-dn.net/?f=%20%5Csf%20%5CLarge%20%5Cbold%7B%20%5Cblue%7Bn%20%3D%202.8%7D%7D)
10.![\sf \Large \bold{ \blue{n = 6}} \sf \Large \bold{ \blue{n = 6}}](https://tex.z-dn.net/?f=%20%5Csf%20%5CLarge%20%5Cbold%7B%20%5Cblue%7Bn%20%3D%206%7D%7D)
Solution:
First, apply the cross multiplication method to each given. Then, do substitution if necessary.
7.![\frac{2n}{3} = \frac{5}{2} \\ 4n = (3)(5) \\ 4n = 15 \\ \frac{ \cancel{4}n}{ \cancel{4}} = \frac{15}{4} \\ \sf \bold{n = 3.75} \frac{2n}{3} = \frac{5}{2} \\ 4n = (3)(5) \\ 4n = 15 \\ \frac{ \cancel{4}n}{ \cancel{4}} = \frac{15}{4} \\ \sf \bold{n = 3.75}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2n%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%5C%5C%204n%20%3D%20%283%29%285%29%20%5C%5C%204n%20%3D%2015%20%5C%5C%20%20%5Cfrac%7B%20%5Ccancel%7B4%7Dn%7D%7B%20%5Ccancel%7B4%7D%7D%20%3D%20%20%5Cfrac%7B15%7D%7B4%7D%20%20%5C%5C%20%20%5Csf%20%5Cbold%7Bn%20%3D%203.75%7D)
8.![\frac{6}{10} = \frac{3}{n} \\ 6n = (10)(3) \\ 6n = 30 \\ \frac{ \cancel{6}n}{ \cancel{6}} = \frac{30}{6} \\ \sf \bold{n = 5} \frac{6}{10} = \frac{3}{n} \\ 6n = (10)(3) \\ 6n = 30 \\ \frac{ \cancel{6}n}{ \cancel{6}} = \frac{30}{6} \\ \sf \bold{n = 5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B10%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7Bn%7D%20%20%5C%5C%206n%20%3D%20%2810%29%283%29%20%5C%5C%206n%20%3D%2030%20%5C%5C%20%20%5Cfrac%7B%20%5Ccancel%7B6%7Dn%7D%7B%20%5Ccancel%7B6%7D%7D%20%20%3D%20%20%5Cfrac%7B30%7D%7B6%7D%20%20%5C%5C%20%20%5Csf%20%5Cbold%7Bn%20%3D%205%7D)
9.![\frac{n}{7} = \frac{2}{5} \\ 5n = (7)(2) \\ 5n = 14 \\ \frac{ \cancel{5}n}{ \cancel{5}} = \frac{14}{5} \\ \sf \bold{n = 2.8} \frac{n}{7} = \frac{2}{5} \\ 5n = (7)(2) \\ 5n = 14 \\ \frac{ \cancel{5}n}{ \cancel{5}} = \frac{14}{5} \\ \sf \bold{n = 2.8}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%5C%5C%205n%20%3D%20%287%29%282%29%20%5C%5C%205n%20%3D%2014%20%5C%5C%20%20%5Cfrac%7B%20%5Ccancel%7B5%7Dn%7D%7B%20%5Ccancel%7B5%7D%7D%20%20%3D%20%20%5Cfrac%7B14%7D%7B5%7D%20%20%5C%5C%20%20%5Csf%20%5Cbold%7Bn%20%3D%202.8%7D)
10.![\frac{3}{n} = \frac{5}{10} \\ 5n = (3)(10) \\ 5n = 30 \\ \frac{ \cancel{5}n}{ \cancel{5}} = \frac{30}{5} \\ \sf \bold{n = 6} \frac{3}{n} = \frac{5}{10} \\ 5n = (3)(10) \\ 5n = 30 \\ \frac{ \cancel{5}n}{ \cancel{5}} = \frac{30}{5} \\ \sf \bold{n = 6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bn%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B10%7D%20%5C%5C%205n%20%3D%20%283%29%2810%29%20%5C%5C%205n%20%3D%2030%20%5C%5C%20%20%5Cfrac%7B%20%5Ccancel%7B5%7Dn%7D%7B%20%5Ccancel%7B5%7D%7D%20%20%3D%20%20%5Cfrac%7B30%7D%7B5%7D%20%5C%5C%20%20%5Csf%20%5Cbold%7Bn%20%3D%206%7D)
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