How do you find the number of red cubes if there are 710 blue cubes and those 710 cubes make up 70% of the total number of blue and red cubes?

Question

There are 710 blue cubes, they make up 70% of the total number of cubes. The number of red cubes and the total number of cubes is unknown.

Answer 1

The total number of cubes is the sum of the red cubes and blue cubes: total cubes = blue cubes + red cubes. We are told that there are 710 blue cubes, and that this is 70%, or 0.7, of the total: 710 = 0.7 • total cubes. Solving for total cubes, we find that total cubes = 710/0.7 ≈ 1014. The number of red cubes then is 1014 – 710 = 304.

Answer 2

First you need to find the total number of cubes.

Let's call X the total number of cubes. We can set up an equation based on what we know about the blue cubes. Since 70% of the total numbers of cubes is equal to 710, we can write,

0.7*X=710

Solving for X by dividing each side by 0.7 yields:

X=710/0.7

X=1014.29. Since we can only have whole number of cubes, there must be 1014 cubes.

The number of red cubes would equal the number of total cubes (1014) minus the number of blue cubes (710).

1014-710= 304 red cubes

So there are 304 red cubes.

Answer 3

Hello James!

If 710 blue cubs is 70% of the total number of cubes, we can estimate that the number of red cubes should be less than the number of blue cubes. We also know that the total number of cubes is going to be greater than 710.

To do this problem mathematically, we first have to determine the total number of cubes.

From the information given from the problem, we have this expression.

Total Number of Cubes * 70% = 710 Blue Cubes

Solving for the Total Number of Cubes gives us 1014 Cubes.

If we need to know the amount of Red Cubes, we take the different between the Total Cubes and Blue Cubes to get 304 Red Cubes.