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.

There are 144 cards in 12 packages

Step-by-step 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

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32