Question

Randall, Kira and Sean have 100 baseball cards altogether. Randall has twice as many as Kira and 10 more than Sean. How many baseball cards does each person have?

Answer 1

Kira has 22 cards, Randall has 44 cards, and Sean has 34 cards

Solution:

Given that, Randall, Kira and Sean have 100 baseball cards altogether.

Randall has twice as many as Kira and 10 more than Sean.

We have to find how many baseball cards does each person have?

Now, let the number of cards with Kira be "n", then number of cards with Randall will be "2n"

As Randall has "2n" cards, Sean will have 2n – 10

Now, total cards = 100

Randall cards + Kira cards + Sean cards = 100

2n + n + 2n – 10 = 100

5n = 100 + 10

5n = 110

n = 22

So, kira has 22 cards, then, randall will have 2(22) = 44 cards and cards with sean = 44 – 10 = 34 cards.

Hence, kira has 22 cards, randall has 44 cards, and sean has 34 cards.