Question

2) There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5.

There are 12 more blue tiles than red tiles in the box. How many red tiles are
there? Draw a tape diagram to show your answer. PLEASE HELP

Answer 1

6 red tiles in the box

Explanation:

Let's represent the red tiles as "R" and the blue tiles as "B". According to the given information, the ratio of red tiles to blue tiles is 3:5, which means for every 3 red tiles, there are 5 blue tiles.

Let's use a tape diagram to represent this situation:

R R R B B B B B

This represents 3 red tiles and 5 blue tiles, as per the given ratio.

It is also given that there are 12 more blue tiles than red tiles. So, we can add 12 more blue tiles in the tape diagram:

R R R B B B B B B B B B

Now, we can see that the difference between the number of blue tiles and red tiles is 12. Since the ratio of red tiles to blue tiles is 3:5, the difference between the two should be 2 (5 - 3 = 2). Therefore, 2 represents 12 tiles in the tape diagram.

Now, to find out how many red tiles are there, we can divide 12 by 2 (since the difference between the ratio is 2).

12 ÷ 2 = 6

So, there are 6 red tiles in the box.