Question

Question 3: Last week, a candle store received $355.60 for selling 20 candles.Small candles sell for $10.98 and large candles sell for $27.98. Write a system ofequations that models this situation, where S represents the amount of smallcandles, and L represents the amount of large candles.

Answer 1

Variables:

S: number of small candles sold

L: number of large candles sold

The store sold a total of 20 candles then:

S + L = 20

Small candles sell for $10.98 and large candles sell for $27.98, and the store received $355.60, then:

10.98S + 27.98L = 355.60

Isolating s from the first equation:

S = 20 - L

Substituting the last equation into the second one:

10.98(20 - L) + 27.98L = 355.60

10.98*20 - 10.98L + 27.98L = 355.60

219.6 + 17L = 355.60

17L = 355.60 - 219.6

L = 136/17

L = 8

And the value of S is:

S = 20 - 8

S = 12

The store sold 12 small and 8 large candles.