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?
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.