This summer, due to some renovations, a sports club has 105 members. The club's records indicate that this is 25% fewer members than it had last summer. How many members were there last summer?

140 members

Step-by-step explanation:

A club's records indicate that it has 25% fewer members than it had last summer due to renovations and it's new totals (in terms of members) is 105.

We are now expected to find the initial number of members they had.

Let's assume that the number of members of the sports club last summer as X

25% loss in members and a total of 105 people

100% = X

If the sports club suffered 25% loss in membership, that means that only 75 of them are present.

75/100 * X = 105

X = 10500/75

X = 140

140

Step-by-step explanation:

we know that this year the sports club has 25% less memeber, so if last year the members where 100% this year there are only 75%

and that 75% is equal to 105 members

we can represent the information that we are given in a table:

memebers percentage

105 ⇒ 75%

since last summer there were the 100% of member we can represent the number of members from last summer with 'x', and the table now is:

memebers percentage

105 ⇒ 75%

x ⇒ 100%

and we use rule of three to solve this problem: multiply cross quantities (105 by 100) and divide by the remaining amount:

x = 105*100/75

x = 140

Last summer the sports club had 140 members