Question

A candle shop sells scented candles for $16 each and unscented candles for $10 each.The shop sells 28 candles today and makes $400.How many scented candles did the shop sell today?How many Unscented candles did the shop sell today?
Ps: please show process!

Answer 1

The number of scented candles ... x
the number of unscented candles ... y

x + y = 28
$16 * x + $10 * y = $400  ... 16 * x + 10 * y = 400

If you would like to know how many scented and how many unscented candles did the shop sell today, you can calculate this using the following steps:

x + y = 28 ... x = 28 - y
16 * x + 10 * y = 400
____________________
16 * (28 - y) + 10 * y = 400
16 * 28 - 16 * y + 10 * y = 400
448 - 400 = 16 * y - 10 * y
48 = 6 * y    /6
y = 48 / 6
y = 8

x = 28 - y = 28 - 8 = 20

Result: The candle shop sold 20 scented candles and 8 unscented candles today.

Answer 2

If x is the number of scented candles and y is the unscented then
16x+10y=400 for cost
x+y=28 for total candles
solve for one and substitute into the other
x+y=28
y=(28-x)
16x+10y=400
16x+10(28-x)=400
16x+280-10x=400
6x=120
x= 20 scented candles

substitute that into one of the original equations to find y
x+y=28
20+y=28
y=8 unscented candles