A candle

A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $400.

a. Write a system of linear equations that represents the situation.

b. Solve the system to answer the questions: How many candles did the shop sell today? How many unscented candles did the shop sell today?

Correct answer:

a =  20
b =  8

Step-by-step explanation:


16a + 10b = 400
a+b = 28

16·a + 10·b = 400
a+b = 28

16a+10b = 400
a+b = 28

Row 2 - 1/16 · Row 1 → Row 2
16a+10b = 400
0.38b = 3


b = 3/0.375 = 8
a = 400-10b/16 = 400-10 · 8/16 = 20

a = 20
b = 8

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 2 comments:
Math student
Horrible

Math student
Jk very good





Tips for related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Grade of the word problem:

Related math problems and questions: