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:The number of the cups of uncooked rice is 3 cupsThe number of the cups of water is [tex]3\frac{3}{4}[/tex] cupsStep-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