The total bill for a dinner party was 134.03. Marcus pays 20.45 of the bill. The other people at the party divide the remaining amount equally and each pay 12.62. How many other people were at the dinner party?

Question

Fiona Black

Mathematics

11 December, 10:55

The total bill for a dinner party was 134.03. Marcus pays 20.45 of the bill. The other people at the party divide the remaining amount equally and each pay 12.62. How many other people were at the dinner party?

+3

Answers (1)

Know the Answer?

Carey · Answer 1

9 people

Step-by-step explanation:

Start by writing an equation.

The total bill is 134.03. The bill is totally paid by Marcus and the other guests. This will go on the other side of the equation.

Since we don't know how many guests there were, we can use variable x to represent the value that we're trying to find.

So here is our equation.

134.04 = 20.45 + 12.62x

Now, just solve for x, or isolate x.

Subtract 20.45 from both sides.

134.04 - 20.45 = 12.62x

Divide both sides by 12.62.

113.59/12.62 = x

Simplify.

x = 9

Since x is 9, we know that there were 9 other people at the dinner party.