Question

Need help with this word problem.

Your school is planning a 5 hour outing at the community park. The park rents bicycles
for $8 per hour and inline skates for $6 per hour. The total budget per person is $34. How many hours should
students spend doing each activity?​

Answer 1

8 X 2 + 6 X 3 = 34

Explanation:

2 hours inline skating and 3 hours biking

Answer 2

The number of hours students should spend on bicycle and skating is 2 hours and 3 hours respectively.

How many hours should students spend doing each activity?

let

Number of hours for bicycle = x

Number of hours for skating = y

So,

x + y = 5. (1)

8x + 6y = 34. (2)

From (1)

x = 5 - y

Substitute into (2)

8x + 6y = 34.

8(5 - y) + 6y = 34

40 - 8y + 6y = 34

40 - 2y = 34

-2y = 34 - 40

-2y = -6

Divide both sides by -2

y = -6/-2

y = 3

Therefore, substitute x into (1)

x + y = 5. (1)

x + 3 = 5

x = 5 - 3

x = 2