In a class there are 5 more boys than girls. There are 13 students in all. How many boys are there i

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In a class there are 5 more boys than girls. There are 13 students in all. How many boys are there in the class?

We start by declaring variables for boys and girls:

• Let b be the number of boys
• Let g be the number of girls

We're given two equations:

1. b = g + 5
2. b + g = 13

Substitute equation (1) for b into equation (2):
g + 5 + g = 13

Grouping like terms, we get:
2g + 5 = 13

Subtract 5 from each side:
2g + 5 - 5 = 13 - 5

Cancel the 5's on the left side and we get:
2g = 8

Divide each side of the equation by 2 to isolate g:
2g/2 = 8/2

Cancel the 2's on the left side and we get:
g = 4

Substitute g = 4 into equation (1) to solve for b:
b = 4 + 5
b = 9