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

Answer:

Candle maker sold 10 Small Candles.

Step-by-step 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 $300$

$10x+20y=300\\10(x+2y)=300\\x+2y=\frac{300}{10}=30\\x+2y=30 \ \ \ \ equation \ 2$

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.