Question

Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been the goalie this season. Pick the diagram that models the ratio in the story. If Austin has played forward in 8 games, in how many games has he been the goalie?

Answer 1

Austin has been the goalie in 6 games.

Explanation:

The diagram that models the ratio in the story is a fraction diagram.

Let's represent Austin playing forward as F and Austin being the goalie as G.

According to the story, Austin has played forward in 4 games for every 3 games he has been the goalie. This can be represented as the fraction 4/3.

Now, we know that Austin has played forward in 8 games.

To find out how many games he has been the goalie, we can set up a proportion using the ratio from the story:

4/3 = 8/x

To solve for x, we can cross-multiply:

4x = 3 * 8

4x = 24

Dividing both sides of the equation by 4, we get:

x = 6

Therefore, Austin has been the goalie in 6 games