Question

Pedro, nora, and vic collect baseball cards. nora has twice as many baseball cards as pedro. vic has 10 more baseball cards than nora. together, pedro, nora, and vic have a total of 70 baseball cards. how many baseball cards does each person have?

Answer 1

Pedro has 12 baseball cards, Nora has 24, and Vic has 34. They have a total of 70 baseball cards as given in the problem.

Step-by-step explanation:

To solve the problem of how many baseball cards Pedro, Nora, and Vic have, we can set up a system of equations based on the information given. Let's designate Pedro's number of baseball cards as P, Nora's as N, and Vic's as V. From the problem, we know the following:

• Nora has twice as many baseball cards as Pedro: N = 2P.
• Vic has 10 more baseball cards than Nora: V = N + 10.
• Together, they have 70 baseball cards: P + N + V = 70.

First, we substitute the expressions for N and V into the third equation:

P + 2P + (2P + 10) = 70

This simplifies to 5P + 10 = 70. Solving for P, we get:

5P = 60

P = 12

Now, we can find out how many cards Nora and Vic have:

N = 2P = 2 * 12 = 24

V = N + 10 = 24 + 10 = 34

So, Pedro has 12 baseball cards, Nora has 24, and Vic has 34.