Answer:
Candle maker sold 10 Small Candles.
Step-by-step explanation:
Given:
A candle maker sells small candles for [tex]10\$[/tex] and large candle for [tex]20\$[/tex]
Let the number of Small candles be [tex]x[/tex]
Let the number of Large candles be [tex]y[/tex]
Total candles sold is 20.
∴ [tex]x+y=20 \ \ \ \ equation \ 1[/tex]
He makes overall [tex]300 \$[/tex]
[tex]10x+20y=300\\10(x+2y)=300\\x+2y=\frac{300}{10}=30\\x+2y=30 \ \ \ \ equation \ 2[/tex]
Subtracting equation 1 by equation 2 we get,
[tex](x+2y=30)-(x+y=20)\\y=10[/tex]
Substituting value of y in equation 1 we get,
[tex]x+y=20\\x+10=20\\x=20-10\\x=10[/tex]
Candle Maker sold 10 Small candles and 10 Large candles.
