Question

Joseph needs 6 1/2 cups of cooked rice for a recipe of nasi gorang. If 2 cups of uncooked rice with 2 1/2 cups of water make 4 1/3 cups of cooked rice, how many cups of uncooked rice does joshep need for this recipe? And how much water should be added?

Answer 1

Answer:

The number of the cups of uncooked rice is 3 cups

The number of the cups of water is $3\frac{3}{4}$ cups

Step-by-step explanation:

* Let us read the recipe of Nasi Gorang

- 2 cups of uncooked rice need $2\frac{1}{2}$ cups of water to

  make $4\frac{1}{3}$ cups of cooked rice

- Joseph needs $6\frac{1}{2}$ cups of cooked rice

- We need to know how many cups of uncooked rice Joshep needs

  for this recipe and how much water should be added

* We can solve this problem by using the ratio method

⇒ uncooked cups   :   water cups   :   cooked cups

⇒ 2                           :   $2\frac{1}{2}$                   :  $4\frac{1}{3}$

⇒  x                           :   y                     :  $6\frac{1}{2}$

- By using cross multiplication

∵ x ( $4\frac{1}{3}$ ) = 2 ( $6\frac{1}{2}$ )

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∴ x ( $\frac{13}{3}$ ) = 2 ( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ x = 13

- Divide both sides by $\frac{13}{3}$

∴ x = 3

∴ The number of the cups of uncooked rice is 3 cups

- By using cross multiplication

∵ y ( $4\frac{1}{3}$ ) =  ( $2\frac{1}{2}$ )( $6\frac{1}{2}$ )

∵ $2\frac{1}{2}$ = $\frac{5}{2}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∴ $\frac{13}{3}$ y = ( $\frac{5}{2}$ )( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ y = $\frac{65}{4}$

- Divide both sides by $\frac{13}{3}$

∴ y = $3\frac{3}{4}$

∴ The number of the cups of water is $3\frac{3}{4}$ cups