Question

The number of trading cards varies directly as the number of packages. If there

are 84 cards in 7 packages, how many cards are in 12 packages?
Let x = the number of packages and y = the total number of cards.
y = mx
Direct variation equation
a
b
There are 91 cards in 12 packages.
There are 144 cards in 12 packages
Not enough information was given.
There 84 cards in 12 packages.

Answer 1

There are 144 cards in 12 packages

Explanation:

Direct Proportion

The number of trading cards is directly proportional to the number of packages. We are given there are 84 cards in 7 packages.

Let x= number of packages, y=total number of cards

The direct variation equation is:

y = m.x

Where m is a constant we need to find by using the given data: y=84 when x=7, thus

84 = 7m

Dividing by 7:

m = 84/7=12

The equation is:

y = 12x

For x = 12 packages:

y = 12*12 = 144 cards

The answer is:

There are 144 cards in 12 packages