mun23 wrote:
A cake recipe uses a constant ratio of 2 teaspoons vanilla extract to 1 ounce chocolate. If the original recipe, which serves four people, is altered proportionally to yield a cake that serves six people, how many ounces of chocolate will be used in the larger cake?
(1) The original recipe calls for exactly five teaspoons of vanilla extract.
(2) If the original recipe were altered proportionally to yield a cake that serves eight people, ten teaspoons of vanilla extract would be used.
Need help...................
Dear
mun23,
I'm happy to help.
Let' say that V is the number of tspns of vanilla extract, and C is the number of ounce of chocolate. We know, in a recipe of any size, V:C = 2:1. That's what the prompt tells us. We would like to know the value of C for a six person recipe.
Statement #1:
The original recipe calls for exactly five teaspoons of vanilla extract.Original four person recipe ----> V = 5 ---- we could figure out C for the original four person recipe, and then multiply by 6/4 for the amount in a six person recipe. This statement, alone and by itself, is
sufficient.
Statement #2:
If the original recipe were altered proportionally to yield a cake that serves eight people, ten teaspoons of vanilla extract would be used.For the eight person recipe ------ V = 10. This means, C = 5 for the 8 person recipe --- now just multiply this by 6/8, to change to the amount needed for a six person recipe. This statement, alone and by itself, is
sufficient.
Answer =
DDoes all this make sense?
Mike
_________________
Mike McGarry
Magoosh Test PrepEducation is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)