16 large candles and 12 small candles were sold.
Step-by-step explanation:
Given,
Worth of candles sold = $144
Total candles sold = 28
Cost of each large candle = $6
Cost of each small candle = $4
Let,
x be the number of large candles sold.
y be the number of small candles sold.
According to given statement;
x+y=28 Eqn 1
6x+4y=144 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(x+y=28)\\4x+4y=112\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](6x+4y)-(4x+4y)=144-112\\6x+4y-4x-4y=32\\2x=32[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{32}{2}\\x=16[/tex]
Putting x=16 in Eqn 1
[tex]16+y=28\\y=28-16\\y=12[/tex]
16 large candles and 12 small candles were sold.
Keywords: linear equation, subtraction
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