Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he brought 7 shirts, 2 pairs of slacks, and a sports coat and paid $30.40. finally, he brought 4 shirts and 1 sports coat and paid$14.45. how much was he charged for each shirt, each pair of slacks, and each sports coat.

Let us say that:

x = cost of shorts

y = cost of slacks

z = cost of sports coat

From the given statements, we can create the following equations:

eqtn 1: 3 x + y = 10.96

eqtn 2:  7 x + 2 y + z = 30.40

eqtn 3:  4 x + z = 14.45

Rewrite eqtn 1 explicit to y:

y = 10.96 – 3 x                    --> eqtn 4

Rewrite eqtn 3 explicit to z:

z = 14.45 – 4x                     --> eqtn 5

Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn 2:

7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40

7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40

- 3 x + 36.37 = 30.40

- 3 x = - 5.97

x = 1.99

Eqtn 4:

y = 10.96 – 3 x   

y = 10.96 – 3 (1.99)

y = 4.99

Eqtn 5:

z = 14.45 – 4x

z = 14.45 – 4 (1.99)

z = 6.49

Therefore each shirt cost $1.99, each slacks cost $4.99, and each sports coat cost $6.49.

Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecils weight in terms of Dylans weight (d)? Complete the steps below to solve this problem and others like it. Part A Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alans weight in terms of Dylans weight.

Step-by-step explanation:

Got answer out of math notes took notes in 6 grade