Concept explainers
To choose : the correct price of each item.
- Shirt, $12.95; pants, $15.99; shoes,$23.49
- Shirt, $15.99; pants, $12.95; shoes,$23.49
- Shirt, $15.99; pants, $23.49; shoes,$12.95
- Shirt, $23.49; pants, $15.99; shoes,$12.95
Answer to Problem 52STP
A. Shirt, $12.95; pants, $15.99; shoes,$23.49
Explanation of Solution
Given information: C, M, and K went shopping to get ready for college. Their purchases and total amounts spent are shown in the table below.
Person | Shirts | Pants | Shoes | Total spent |
C | 3 | 4 | 2 | $149.79 |
M | 5 | 3 | 3 | $183.19 |
K | 6 | 5 | 1 | $181.14 |
Calculation:
Let x , y and z be the shirt, pant and shoes respectively.
Then according to given condition, we have
Subtracting equation (1) from twice of equation (3), we get
Subtracting equation (2) from thrice of equation (3), we get
Now,Subtracting equation (5) from twice of equation (4), we get
By substituting the value of x in equation (4), we get
By substituting the value of x and y in equation (3), we get
Thus, cost of a shirt is $ 12.95, cost of pant is $15.99 and cost of shoes is $23.49.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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