Question

Twenty percent of the cereal boxes have a trading card of Tiger Woods, 30% with David Beckham, and the rest have a picture of Michael Phelps. How many boxes of cereal would you have to buy to have 1 of each card?

Options:
A) 5 boxes
B) 6 boxes
C) 7 boxes
D) 10 boxes

Answer 1

To have 1 of each trading card, you need to buy 10 boxes of cereal.

Step-by-step explanation:

To have 1 of each trading card, you need to calculate the number of boxes that would give you each card separately. Let's assume you need x boxes for Tiger Woods, y boxes for David Beckham, and z boxes for Michael Phelps. To find x, you need to find 20% of the total number of boxes. Similarly, to find y and z, you need to find 30% and 50% of the total number of boxes respectively. To calculate the total number of boxes needed, you can use the equation: x + y + z = total number of boxes.

Substituting the given percentages, the equation becomes: 0.2(total number of boxes) + 0.3(total number of boxes) + 0.5(total number of boxes) = total number of boxes.

Simplifying the equation, we get: 0.2x + 0.3x + 0.5x = x.

Combining like terms, the equation becomes: x = 10x.

Dividing both sides by 10, we find: x = 10.

Therefore, you would need to buy 10 boxes of cereal to have 1 of each trading card.