Question

Jennifer had a party. she wanted to give an equal number of balloons to her six friends. if one of her friend did not turn up for the party, the rest will be able to receive another two balloons each. how many balloons do Jennifer have?​

Answer 1

60

Explanation:

if the absent friend had 10 balloons it made sense that each friend recieves another two ballons each

Answer 2

Jennifer had 60 balloons initially.

Explanation:

Let's assume that Jennifer had x balloons initially.

If she wanted to give an equal number of balloons to her six friends, then each friend would receive x/6 balloons.

If one of her friends did not turn up for the party, then the remaining five friends would receive x/5 balloons each.

According to the problem, the remaining five friends would receive an additional two balloons each, which means they would receive a total of x/5 + 2 balloons each.

Since the number of balloons given to the friends must be the same in both scenarios, we can set up an equation:

x/6 = x/5 + 2

Multiplying both sides by 30 (the least common multiple of 6 and 5) gives:

5x = 6x + 60

Subtracting 5x from both sides gives:

x = 60

Therefore, Jennifer had 60 balloons initially.