PLEASE HELP I CANT DO

Question

andrianne is planning to bake some chocolate strawberry and raisin muffins for a party she was asked to bake half as many chocolate as raisin and 3 times as many strawberry muffins as chocolate if she only has enough ingredients to bake 480 muffins how many raisin muffins did she bake

Answer 1

Hi Greg,

The wording and all the different ingredients will surely confuse those reading this.

In word problems, " Always start with what you know"

Givens: chocolate, strawberry, and raisin
            1/2raisin = chocolate

            or raisin = 2*chocolate
            strawberry = 3*chocolate
            chocolate + strawberry + raisin = 480 muffins

Lets define variables : C = chocolate muffins, S = strawberry muffins, and R = Raisin muffins

Three equations:

 2C= R
3C = S
C + S + R = 480

 

C + 2C + 3C = 480
6C = 480

C = 80 <--equivalent to chocolate
2C = 160   <--- equivalent to raisin
3C = 240  <-- equivalent to strawberry

Chocolate is 80, Raisin is 160, and Strawberry is 240 As these total 480

The answer of how many raisin were made = 160 muffins.

Answer 2

Hi Greg;

(1/2)(raisin)=(chocolate)

(raisin)=(2)(chocolate)

 

(strawberry)=(3)(chocolate)

 

480=(chocolate)+[(2)(chocolate)]+[(3)(chocolate)]

480=(6)(chocolate)

Let's divide both sides by 6...

480/6=[(6)(chocolate)]/6

80=chocolate

(raisin)=(2)(chocolate)

raisin=(2)(80)

raisin=160

(strawberry)=(3)(chocolate)

(strawberry)=(3)(80)

strawberry=240

Let's check our work...

480=chocolate+raisin+strawberry

480=80+160+240

480=480