You collect baseball and football cards. Your uncle has an old collection of 360 cards that he gives you. The collection has more baseball cards than football cards. In fact, it is 30 more than twice the number of football cards. How many of each are in your uncle's collection?

Let's call the number of football cards x
Number of baseball cards = 30 + 2 x
As the total number of cards is 360:
[x + 2x + 30 = 360
3x = 360 - 30
3x = 330
x = 110]
So there are 110 football cards **** And there are 110*2 + 30 = 220 + 30 = 250 baseball cards

Answered by ollieboyne | 2024-06-10

The uncle's collection consists of 250 baseball cards and 110 football cards.
Solving a system of equations to find out how many baseball and football cards are in the uncle's collection. Here's how you can solve it:
Let the number of football cards be f. According to the problem, the number of baseball cards is 30 more than twice the number of football cards, which can be represented as 2f + 30.
Since the total number of cards is 360, we can write the equation: f + (2f + 30) = 360
Simplifying, we combine like terms: 3f + 30 = 360
Subtract 30 from both sides: 3f = 330
Divide by 3: f = 110
Now that we have the number of football cards, we can find the number of baseball cards: 2f + 30 = 2(110) + 30
= 220 + 30
= 250
So, there are 250 baseball cards and 110 football cards in the collection.

Answered by Yogeshkumari | 2024-06-24

Your uncle's collection has 110 football cards and 250 baseball cards, making a total of 360 cards. The relationship between the types of cards was expressed with equations that allowed us to solve for the values. Baseball cards are 30 more than twice the number of football cards.
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Answered by ollieboyne | 2024-09-03