Final answer:
Taylor will receive 40 sport cards, as the total of 70 cards is divided according to the ratio of 4:3, with Taylor getting the 4 parts of the ratio.
Step-by-step explanation:
The question involves dividing sport cards in a given ratio, which is a concept in mathematics related to proportions and ratios. Taylor and Morgan have a total of 70 sports cards and they want to share them in the ratio of 4:3. To determine how many sport cards Taylor gets, we must first add up the parts of the ratio, which are 4 + 3 = 7 parts in total.
We then divide the total number of sports cards by the total parts to find the value of one part: 70 ÷ 7 = 10 cards per part. Since Taylor's share is 4 parts of the ratio, we multiply the value of one part by 4 to get Taylor's total number of cards: 10 cards/part × 4 parts = 40 cards.