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 ?
Accepted Solution
A:
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.