Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more of their meal?

Use the relation 1 gallon =128 ounce to change 3 gallons to ounces as follows

\(\frac {3\ gallons \ast 128 ounces}{ 1 gallon}=384 ounces\)Thus, 3 gallons is equal to 384 oz.

The proportion equation of the ratio 100:2=60:X is

\(\frac{100}{2}=\frac{60}{X}\)

Cross-multiply to find the value of X

\(100x\ =\ 120\)

Divide both sides by 100

\(\frac{100x}{100}=\frac{120}{100}\)

\(x\ =\ 1.2\)

The value of X is 1.2

First step is to find the least common divisor of denominators 3, 6, and 5 which is 30. Then:

\(\frac{2}{3}+\frac{1}{6}+\frac{2}{5}=\frac{2\left(10\right)+5+2\left(6\right)}{30}=\frac{20+5+12}{30}=\frac{37}{30}=1\frac{7}{30}\)

A ratio of the form a:b = c:d converted to a proportion equation becomes\( \frac{a}{b}=\frac{c}{d}\)where \(a\ and\ d\neq0\)

Thus, 9:X=5:300 becomes

\(\frac{9}{X}=\frac{5}{300}\)

Cross-multiply to find the value of X

\(9\ast300=5X\)

\(2700=5X\)

Rearranging the above equation

\(5X=2700\)

Divide each side by 5

\(\frac{5X}{5}=\frac{2700}{5}\)

\(X=540\)

The value of X is 540.