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alisha [4.7K]
3 years ago
7

Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he b

rought 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.
Mathematics
1 answer:
valina [46]3 years ago
7 0

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.

<span> </span>

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Step-by-step explanation:

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<em><u>The complete question is</u></em>

A coordinate grid is placed over a  College Station map.  Tiger Stadium is         located at (-3, 2) and Kyle Field is located at (4, 8).  If a shuttle bus stop is         at the midpoint between Tiger Field  and Kyle Field, which is the closest to         the distance in coordinate units from  Tiger Field to the shuttle bus stop?

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4.61 units

6.52 units  

9.22 units  

21.25 units

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we know that

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