Shopping at super sales day, martha buys her children 3 shirts and 2 pairs of pants for $85.50. She returns during the sale and
buys 4 shirts and 3 more pairs of pants for $123. what was the sale price of the shirts and pants?
1 answer:
Answer:
- Shirt costs $10.50, pants cost $27
Step-by-step explanation:
<h3>Set equations as follows</h3>
- 3s + 2p = 85.5
- 4s + 3p = 123
<h3>Solve the system by elimination</h3>
Multiply the first equation by 4 and the second one by 3 and subtract equations
- 4(3s + 2p) - 3(4s + 3p) = 4(85.5) - 3(123)
- 12s + 8p - 12s - 9p = 342 - 369
- - p = - 27
- p = 27
Find the value of s
- 3s + 2*27 = 85.5
- 3s + 54 = 85.5
- 3s = 85.5 - 54
- 3s = 31.5
- s = 31.5/3
- s = 10.5
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Step-by-step explanation:
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Total cost equals the yearly fee price plus $14 times number of hours.
T= total cost
n= number of hours
Equation:
T= $199 + $14n
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