SOLUTION: If a recipe that serves 8 people requires 2 cups of sugar, how much sugar is required if we prepare the recipe for a group of 19 people?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If a recipe that serves 8 people requires 2 cups of sugar, how much sugar is required if we prepare the recipe for a group of 19 people?      Log On


   



Question 701359: If a recipe that serves 8 people requires 2 cups of sugar, how much sugar is required if we prepare the recipe for a group of 19 people?
Found 2 solutions by stanbon, graphmatics:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If a recipe that serves 8 people requires 2 cups of sugar, how much sugar is required if we prepare the recipe for a group of 19 people?
--------
x sugar/19 people = 2sugar/8people
----
x = 19(1/4)
x = 4 3/4 cups of sugar
=============================
Cheers,
Stan H.

Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
Because the recipe that serves 8 people requires 2 cups of sugar, a single person uses +2%2F8=.25+ cup of sugar. So if y is the amount of sugar required to prepare the recipe for a group of x people, then +y=.25%2Ax+. So if +x=19+ is the size of the group of people for which we need an amount of sugar to be denoted by the variable y, then +y=.25%2A19+, so +y=4.75+ cups of sugar.