You sell small and large candles at a craft fair. You collect $ 144 selling a to

mattgondek4

mattgondek4

Answered question

2021-09-25

You sell small and large candles at a craft fair. You collect $ 144 selling a total or 28 candles. How many of each type of candle did you sell?
Given:
Total selling price is $144.
Total number of candles is 28.
Cost of large candle is $6.
Cost of small candle is $4.

Answer & Explanation

Derrick

Derrick

Skilled2021-09-26Added 94 answers

Calculation:
Consider the number of large and small candles as x and y respectively.
The equation by its seling price is calculated as follows:
6x+4y=144 ....(1)
The equation by total number of candles is calculated as follows:
x+y=28 ..... (2)
Solve the equation (1) and (2) by elimination method.
Multiply the equation (2) by 6 and subtract from equation (1) as follows:
6x+6y=168(6x+4y=144)0+2y=24y=12
Substitute value of y in equation (2) as follows:
x+12=28
x=16
Thus, the numbers of large and small candles are 16 and 12 respectively

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