48.1k views
4 votes
Jessica has a sack of vegetables.

There are 3 carrots for every 4 potatoes
in the sack.
If there are 12 carrots in the sack, how
many potatoes are there?

User MrAutoIt
by
7.3k points

2 Answers

2 votes

Answer:

Here's a graph that represents the relationship between the number of carrots and the number of potatoes in the sack:

Carrots (x) Potatoes (y)

0 0

3 4

6 8

9 12

12 16

As you can see from the graph, if there are 12 carrots in the sack, then there are 16 potatoes in the sack.

You can also use this graph to find the number of potatoes if you know the number of carrots, or to find the number of carrots if you know the number of potatoes. Simply find the number of carrots or potatoes on the x-axis or y-axis, and then follow the line upward or downward until you reach the line that represents the relationship between carrots and potatoes. The number you reach on the other axis is the number of carrots or potatoes.

Explanation:

User Mamie
by
7.2k points
6 votes

First, we can set up the ratio of carrots to potatoes as 3:4. Since there are 12 carrots, we can set up the following proportion:

3/4 = 12/x

To solve for the number of potatoes, we can cross-multiply to get:

4x = 12 * 4

x = 48/4

x = <<48/4=12>>12 potatoes.

Therefore, there are 12 potatoes in the sack.

User AnthonyR
by
7.9k points