Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Step-by-step explanation:

Let cost of a candle =

Let cost of a wallflower =

Let cost of a lotion =

Cost of 4 candles = 4

Cost of 5 wallflowers = 5

Cost of 6 lotions = 6

Cost of 2 candles = 2

Cost of 3 wallflowers = 3

Cost of 1 lotion =

As per question statement:

Using equation (3) in (1) and (2), the equations get reduced to :

Multiplying (5) with 2 and subtracting from equation (1):

By equation (3):

By equation (4):

Therefore, the answer is:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

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step-by-step explanation: