Question

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?

Answer 1

• Shirt costs $10.50, pants cost $27

Explanation:

Set equations as follows

• 3s + 2p = 85.5
• 4s + 3p = 123

Solve the system by elimination

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