The number of years that each fat candle represent include the following: C. 15.
In order to write a linear equation to describe this situation, we would assign variables to the number of candles, and then translate the word problem into an algebraic equation as follows:
- Let the variable x represent the number of thin candles.
- Let the variable y represent the number of fat candles.
By critically observing the diagram representing the cake, we can logically deduce that there are five (5) thin candles and three (3) fat candles.
In this context, a linear equation to describe this situation can be written as follows;
5x + 3y = 50
Since each thin candle represents 1 year, we have;
5 + 3y = 50
3y = 50 - 5
y = 45/3
y = 15 years.
Complete Question;
Manu is celebrating his birthday. His sister has arranged for a cake with some candles on it.
There are two types of candles, thin and fat, each type representing some number of years. Each thin candle represents 1 year. If Manu is 50 years old, how many years does each fat candle represent?
3
10
15
45