A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $400.
Write a system of linear equations that represents the situation.
Please also include how many scented candles were sold and how many unscented were sold.
Thanks!!!

a + b = 28

16a + 10b = 400

Solution:

Let "a" be the number of scented candles sold

Let "b" be the number of unscented candles sold

From given,

Cost of 1 scented candles = $ 16

Cost of 1 unscented candles = $ 10

The shop sells 28 candles today

Therefore,

a + b = 28

b = 28 - a ------- eqn 1

The shop sells 28 candles today and makes $400

Therefore,

number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

16a + 10b = 400 ------ eqn 2

Substitute eqn 1 in eqn 2

16a + 10(28 - a) = 400

16a + 280 - 10a = 400

6a = 400 - 280

6a = 120

a = 20

Substitute a = 20 in eqn 1

b = 28 - 20

b = 8

Thus 20 scented candles and 8 unscented candles were sold

step-by-step explanation:

hunhgunyt7 in u uuuhiuteu

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.