2. On a school picnic, a group of girls agree to pay equally for the use
of a boat and each pays * 25. If there had been 3 more girls in the
group, each would have paid 5 less. How many girls were there
in the group?

Respuesta :

Answer:

There were 12 girls in the group

Step-by-step explanation:

Assume that the number of girls at first is x

There were x girls in a group

Each girl pays 25 to use a boat

∴ The amount paid = 25 × x

The amount paid = 25x

∵ If there had been 3 more girls in the group

→ That means add x by 3

The number of girls in the group = x + 3

∵ Each would have paid 5 less

∴ Each girl would have paid 25 - 5 = 20

Each girl would have paid 20

∴ The amount paid = 20 × (x + 3)

∴ The amount paid = 20(x) + 20(3)

The amount paid = 20x + 60

→ Equate the right sides of the amount paid

25x = 20x + 60

→ Subtract 20x from both sides

∴ 25x - 20x = 20x - 20x + 60

∴ 5x = 60

→ Divide both sides by 5 to find x

x = 12

∵ x represents the number of the girls in the group

There were 12 girls in the group

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