Question

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 12x + 4y = 152 32x + 12y = 420 In the equations, x x represents the cost of a chicken lunch and y y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?

Answer 1

Amount of money collected in the 2-day fundraiser is represented by the following equations:

• 12x + 4y = 152 .................. (i)
• 32x + 12y = 420 .................. (ii)

where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch

Multiplying (i) with 3 and subtracting it from (ii)

36x + 12y - (32x + 12y) = 456 - 420

⇒ 4x = 36

⇒ x = 9

Put value of x in (i)

⇒ 12 × 9 + 4y = 152

⇒ 108 + 4y = 152

⇒ 4y = 44

⇒ y = 11

Hence, cost of the vegetarian meal is 11.