Mabel has a total of 54 decorative beads. Some are black and some are white. The ratio of the number of black beads to the number of white beads is 7 : 2. How many more black beads than white beads are there?

So 7+2=9, 54 divided by 9 = 6. 6 times 7 = 42, and 6 times 2= 12.

There are 42 Black beads and 12 White beads.
So overall there are 30 more black beads than white

Nice. I had the same doubt and this helped a lot. Thanks! 👍😄

I was looking for this too!

Is this an 8th grade problem?

thanx and this is a singapore 6th grade qusetion

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TYSM

To find out how many more black beads than white beads there are, we need to determine the number of black and white beads individually.

Let's use the given ratio to find the number of black and white beads.

The ratio of black beads to white beads is given as 7:2. This means that out of every 7+2=9 beads, 7 are black and 2 are white.

To find the number of black beads, we'll divide the total number of beads (54) by the sum of the parts of the ratio (7+2=9), and then multiply it by the number of black parts in the ratio (7).

Number of black beads = (54 / 9) x 7
= 6 x 7
= 42

Similarly, to find the number of white beads, we'll divide the total number of beads (54) by the sum of the parts of the ratio (7+2=9), and then multiply it by the number of white parts in the ratio (2).

Number of white beads = (54 / 9) x 2
= 6 x 2
= 12

Finally, to find out how many more black beads there are than white beads, subtract the number of white beads from the black beads.

Difference = Number of black beads - Number of white beads
= 42 - 12
= 30

Therefore, there are 30 more black beads than white beads.

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