Word Problem Involving Fractions and Multippcation

A food joint used five pounds of vegetables during a lunch rush. If they used one-twelfth as much meat, how many pounds of meat did they use?

Solution

Step 1:

Number of pounds of vegetables used = 5

Step 2:

Number of pounds of meat used = $frac{1}{12}$ of 5 pounds

= $frac{1}{12}$ × 5 = $frac{5}{12}$ pounds.

A cook used seven kilograms of rice for a dinner party. If the guests only ate three-fifths of the rice he cooked, how much did they eat?

Solution

Step 1:

Number of kilograms of rice cooked = 7

Step 2:

Number of kilograms of rice eaten

= $frac{3}{5}$ of 7 = $frac{3}{5}$ × 7

= $frac{3}{5}$ × $frac{7}{1}$ = $frac{(3×7)}{(5×1)}$

= $frac{21}{5}$ = 4$frac{1}{5}$

Each day a company used nine-tenths of a box of paper. How many boxes would they have used after three days?

Solution

Step 1:

Number of boxes of paper used per day = $frac{9}{10}$

Step 2:

Number of boxes of paper used in three days

= 3 × $frac{9}{10}$ = $frac{3}{1}$ × $frac{9}{10}$

= $frac{(3×9)}{(1×10)}$ = $frac{27}{10}$ = 2$frac{7}{10}$