Question

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Eliza and Jamie are making cupcakes for a bake sale at school. Eliza needs 213
c of flour for her recipe and Jamie needs 134 c for her recipe. They have 4 c of flour. Do they have enough flour for both recipes? Explain.

Answer 1

Question is not proper; Proper question is given below;

Eliza and Jamie are making cupcakes for a bake sale at school.Eliza needs 2 1/3 cups of flour for her recipe, and Jamie needs 1 3/4 cups for her recipe. they have 4 cups of flour.Do they have enough flour for both of their recipes? explain.

Answer:

They do not have enough flour for both recipes.

Explanation:

Given:

Amount of flour Eliza needs =
`2 (1)/(3)` cup

`2 (1)/(3)` can be rewritten as
`(7)/(3)`

Amount of flour Eliza needs =
`(7)/(3)` cup

Amount of flour Jamie needs =
`1 (3)/(4)` cup

`1(3)/(4)` can be rewritten as
`(7)/(4)`

Amount of flour Eliza needs =
`(7)/(4)` cup

Total Amount of flour they have = 4 cups

We need to find whether they have enough flour for both recipes.

Total Amount of flour they need is equal to sum of Amount of flour Eliza needs and Amount of flour Jamie needs.

framing in equation form we get;

Total Amount of flour they need =
`(7)/(3)+(7)/(4)`

Now taking LCM for making the denominator common we get;

Total Amount of flour they need =
`(7* 4)/(3* 4)+(7* 3)/(4*3) = (28)/(12)+(21)/(12)= (28+21)/(12) = (49)/(12) \ cups \ \ \ \ \ OR \ \ \ \ \ 4(1)/(12) \ cups`

Now Since the Total amount of flour they need is
`(49)/(12) \ cups \ \ \ \ \ OR \ \ \ \ \ 4(1)/(12) \ cups` which greater than Total Amount of flour they have which is 4 cups.

Hence we can say that they do not have enough flour for both recipes.