Q19 Rob bought 2 pairs of shorts 3 shirts and a pair of shoe

Q19. Rob bought 2 pairs of shorts, 3 shirts and a pair of shoes for $146.64. Jessie bought 3 pairs of shorts, 5 shirts and 2 pairs of shoes for $256.35. Allen bought a pair of shorts and 4 shirts for $104.07. What is the price of a pair of shorts? Express answer rounded to two decimal places.
   a. $14.55
   b. $50.40
   c. $22.38
   d. $10.30

Solution

Let x be the price of a pair of shorts

y be the price of a shirt

And z be the price pair of shoes.

The system of equations becomes

2x+3x+z=146.64

3x+5y+2z=256.35

x+4y=104.07

(Note: after solving these system of equations by matrix method,or guass elimination method or Cramer\'s rule,etc you will get the answer)

The correct answer is a. $14.55

i.e. the price of a pair shorts = $ 14.55 <------- answer.