To answer these questions, we'll use proportions.
1.
10 sleps will equal 14 quibs. You have 16 quibs of skvarnick, so set up the proportion:
[tex] \frac{10}{14} = \frac{x}{16} [/tex]
The numerator represents sleps, and the denominator represents quibs.
Cross multiply the two fractions:
[tex] 10 \cdot 16 = 14 \cdot x [/tex]
[tex] 160 = 14x [/tex]
Divide both sides by 14 to get x by itself:
[tex] 160 \div 14 = 11.42875 [/tex]
Round the result to the nearest tenth:
[tex] 11.42875 \approx 11.4 [/tex]
[tex] \boxed{x = 11.4} [/tex]
You will have 11.4 sleps of skvarnick.
2.
9 quibs will equal 13 sleps. You have 12 quibs of skvarnick. Set up a proportion:
[tex] \frac{9}{13} = \frac{12}{x} [/tex]
The numerator represents quibs, and the denominator represents sleps.
Cross multiply the two fractions:
[tex] 9 \cdot x = 13 \cdot 12 [/tex]
[tex] 9x = 156 [/tex]
Divide both sides by 9 to get x by itself:
[tex] 156 \div 9 = 17.333... [/tex]
Round the result to the nearest tenth:
[tex] 17.333 \approx 17.3 [/tex]
[tex] \boxed{x = 17.3} [/tex]
You will have 17.3 sleps of skvarnick.
