Ted and Alvin shared some picture cards in the ratio 5:2. If there are 91 picture cards altogether, how many pictures cards did Ted get?

1 answer

To find out how many picture cards Ted got, we need to divide the total number of cards (91) according to the given ratio, which is 5:2 for Ted and Alvin respectively.

First, we find the total number of parts in the ratio by adding them together:

5 (Ted's share) + 2 (Alvin's share) = 7 parts

Now, we need to divide the total number of cards (91) by the total number of parts (7) to find out the value of one part:

91 cards / 7 parts = 13 cards per part

Now, since Ted's share of the ratio is 5 parts, we multiply the value of one part by the number of Ted's parts:

13 cards per part x 5 parts = 65 cards

So, Ted received 65 picture cards.