Question

Matthew went shopping and bought 2 pairs of pants and one pair of shoes for $92. Michael went shopping and bought one pair of pants and 3 pairs of shoes for $161. How much does a pair of pants cost? How much does a pair of shoes cost?

Answer 1

Answer: $46

Explanation:

set shoes as S

set pants as P.

2P+S=$92 - equation 1

P+3S=$161 - equation 2

equation 2 can also be written as:

P=$161-3S

so sub equation 2 into 1

∴2($161-3S)+S=$92

$322-6S+S=$92

$230=6S-S

5S=$230

S=46