Question

Acandle maker sells small candles for 10$ and large candle for 20$.on a certain day he sells 20candle overall . and makes 300 $ . How many small candle did he sell ? ​

Answer 1

Candle maker sold 10 Small Candles.

Explanation:

Given:

A candle maker sells small candles for
`10\$` and large candle for
`20\$`

Let the number of Small candles be
`x`

Let the number of Large candles be
`y`

Total candles sold is 20.

∴
`x+y=20 \ \ \ \ equation \ 1`

He makes overall
`300 \$`

`10x+20y=300\\10(x+2y)=300\\x+2y=(300)/(10)=30\\x+2y=30 \ \ \ \ equation \ 2`

Subtracting equation 1 by equation 2 we get,

`(x+2y=30)-(x+y=20)\\y=10`

Substituting value of y in equation 1 we get,

`x+y=20\\x+10=20\\x=20-10\\x=10`

Candle Maker sold 10 Small candles and 10 Large candles.