Answer:
The number of the cups of uncooked rice is 3 cups
The number of the cups of water is [tex]3\frac{3}{4}[/tex] cups
Step-by-step explanation:
* Let us read the recipe of Nasi Gorang
- 2 cups of uncooked rice need [tex]2\frac{1}{2}[/tex] cups of water to
make [tex]4\frac{1}{3}[/tex] cups of cooked rice
- Joseph needs [tex]6\frac{1}{2}[/tex] 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 : [tex]2\frac{1}{2}[/tex] : [tex]4\frac{1}{3}[/tex]
⇒ x : y : [tex]6\frac{1}{2}[/tex]
- By using cross multiplication
∵ x ( [tex]4\frac{1}{3}[/tex] ) = 2 ( [tex]6\frac{1}{2}[/tex] )
∵ [tex]4\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
∵ [tex]6\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]
∴ x ( [tex]\frac{13}{3}[/tex] ) = 2 ( [tex]\frac{13}{2}[/tex] )
∴ [tex]\frac{13}{3}[/tex] x = 13
- Divide both sides by [tex]\frac{13}{3}[/tex]
∴ x = 3
∴ The number of the cups of uncooked rice is 3 cups
- By using cross multiplication
∵ y ( [tex]4\frac{1}{3}[/tex] ) = ( [tex]2\frac{1}{2}[/tex] )( [tex]6\frac{1}{2}[/tex] )
∵ [tex]2\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]
∵ [tex]6\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]
∵ [tex]4\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
∴ [tex]\frac{13}{3}[/tex] y = ( [tex]\frac{5}{2}[/tex] )( [tex]\frac{13}{2}[/tex] )
∴ [tex]\frac{13}{3}[/tex] y = [tex]\frac{65}{4}[/tex]
- Divide both sides by [tex]\frac{13}{3}[/tex]
∴ y = [tex]3\frac{3}{4}[/tex]
∴ The number of the cups of water is [tex]3\frac{3}{4}[/tex] cups
