Question

Mrs. Roberts sewed m shirts using 2 yards of cloth for each shirt. She also sewed (m+2) dresses, using 5 yards of cloth for each dress. A) How much cloth did she use altogether? Give your answer in terms of m. B) If m= 7, find how much more cloth she used to sew the dresses than the shirts.

Answer 1

7m + 10

31 yards

Explanation:

Shirts :

Number of shirts sewed = m

Yards of cloth used per shirt = 2 yards

Number of dresses sewed = m + 2

Yards of cloth used per dress = 5 yards

Cloth used altogether :

Cloths used for shirt = 2 * m = 2m

Cloth used for dress = 5 * (m+2) = 5m + 10

2m + (5m + 10) = 7m + 10

If m = 7

Cloth used for dress - Cloth used for shirt

(5(7) + 10) - (2(7))

(35+10) - 14

45 - 14 = 31 yards