Grade 9 math linear equations

Question

Leon took three of her friends to visit the zoo. The bus fares cost $5.50 per person. The cost of admission to the zoo was the same for each person in the group. Leon spent $109 altogether on fares and admission. What was the cost of each admission ?

Answer 1

Let's use the variable x to represent the cost of one admission.

Then we can write the following equation to determine the cost of each admission (there are 4 people in total):

4x + 4 • $5.50 = $109

Now solve using inverse operations.

4x + 4 • $5.50 = $109

4x + 22.00 = 109

4x + 22.00 - 22.00 = 109 -22.00

4x = 87.00

4x/4 = 87.00/4

x = $21.75

The cost of one admission is $21.75