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OverLord2011 [107]
3 years ago
9

Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a total of 28 ca

ndles. How many of each candle did she sell? Use x for the small candles and y for the large candles.
small candle x= blank candles
large candle y = blank candles
Mathematics
2 answers:
Pepsi [2]3 years ago
4 0

Answer:

Number of small candles = 12

Number of large candles = 16

Step-by-step explanation:

Total candles = 28

x + y = 28 ---------------(I)

Cost of 'x' small candles = 4 *x = 4x

Cost of 'y' large candles = 6 *y = 6y

Total amount = $144

4x + 6y = 144 -------------(II)

Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'

(I) * (-4)            -4x - 4y = -112

(II)                  <u>  4x  + 6y = 144</u>              {Now, add}

                               2y = 32

                                y = 32/2

y = 16

Plug in y = 16 in equation (I)

x + 16 = 28

       x = 28 - 16

x = 12

tankabanditka [31]3 years ago
3 0

Answer:

small candles-x

large -y

144-4x=6y

28-x=y

28-y=x

(28-x)6+4x=144

168-6x+4x=114

-2x=-54

2x=54

x=27

27 small and 1 large

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