Maria, Denise, and Joseph are making cookies for a bake sale. Maria has 4 times as toany okies for the

bake sale as Denise. Joseph has 6 times as many cookies for the bake sale as Denise. Altogether, they

have made 682 cookies for the bake sale. How many cookies has each child made?

Maria made

cookies.

Denise made

cookies.

Joseph made

cookies.

Maria made 248 cookies, Denise made 62 cookies, Joseph made 372 cookies.

Step-by-step explanation:

Number of cookies made by Maria is m,

made by Denise is d,

made by Joseph is j

We can write the following equations from the word:

m = 4d

j = 6d

m + d + j = 682

We can substitute both 1st and 2nd equation in 3rd and solve for d:

m + d + j = 682

4d + d + 6d = 682

11d = 682

d = 62

Thus,

m = 4 (62) = 248

and

j = 6 (62) = 372

Maria made 248 cookies, Denise made 62 cookies, Joseph made 372 cookies.