Question

1. A specialty shop sells gift baskets that contain three different types of

candles: tapers, pillars, and jar candles. Tapers cost $1 each, pillars cost $4
each, and jar candles cost $6 each. Each basket contains 8 candles costing
a total of $24, and the number of tapers is equal to the number of pillars
and jar candles combined. Which system of equations represents the
situation, where t is the number of tapers, p is the number of pillars, and jis
the number of jar candles? *

Answer 1

Option (B)

Explanation:

Let the number of tapers in the basket = t

Number of pillars = p

And the number of jar candles = j

Tapers cost = $1 each

Jar candles cost = $6 each

Pillars cost = $ 4

Total number of candles in the basket = 8

Therefore, equation will be,

p + t + j = 8 -----(1)

Cost of the candles in the basket = $24

$1t + $4p + $6j = $24

t + 4p + 6j = 24 -------(2)

Since number of tapers is equal to the number of pillars and jar candles combined,

t = p + j

t - p - j = 0 ------(3)

Therefore, Option (B) is the answer.