Question

a fall candle gift set has 4 vanilla candles and 6 pumpkin spice candles. use v to represent the cost of each vanilla candle and p to represent the cost of each pumpkin candle. write and simplify an expression that represents the total cost of 4 sets

Answer 1

total cost of 4 vanilla candles is 4v
total cost of 6 pumpkin candeles is 6p
so total cost of set is 4v+6p=2(2v+3p)
Answer: cost of set is 2(2v+3p)

Answer 2

16v + 24p

Explanation:

Let, the cost of one vanilla candle = v and the cost of one pumpkin candle = p.

Since, there are 4 vanilla candles and 6 pumpkin candles in one set.

Thus,

Cost of 4 vanilla candles = 4v

Cost of 6 pumpkin candles = 6p

Thus, the total cost of both candles in one set = 4v + 6p

Moreover, as there are 4 sets of the candles.

Thus, the total cost of 4 sets = 4 × Cost of one set

i.e. Total cost of 4 sets = 4 × (4v + 6p) = 16v + 24p

Hence, the expression for the total cost of 4 sets is 16v + 24p.