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2 years ago

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10. At a sale on candles, Lexi bought two large candles and five small candles and paid $30. Carl bought one large candle and th

ree small candles and paid $16.75. Find the cost of each

1 answer:

mel-nik [20]2 years ago

6 0

Answer:

Large candle) $6.25

Small candle) $3.5

Step-by-step explanation:

Let x be the cost of a large candle and y be the cost of a small candle.

Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.

Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75

We have two equations:

2x+5y=30 and x+3y=16.75

1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5

2) Subract the two equations

2x+6y=33.5

- 2x+5y=30

= y=3.5

3) Plug y=3.5 into one of the equations.

2x+5(3.5)=30

2x+17.5=30

2x=12.5

x=6.25

4) Check the work by plugging both variable in the other equation

6.25+3(3.5)=16.75

6.25+10.5=16.75

6.75=16.75

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