Mindy and Daisy are making necklaces using beads. Mindy uses 4 red beads for every 5 white beads. Daisy uses 6 red beads for every 7 white beads. Use tables of equivalent ratios to determine who will use more white beads when Mindy and Daisy each use 12 red beads.
A.
Mindy will use 20 white beads and Daisy will only use 13 white beads, so Mindy will use more white beads.
B.
Daisy will use 42 white beads and Mindy will only use 20 white beads, so Daisy will use more white beads.
C.
Daisy will use 13 white beads and Mindy will only use 9 white beads, so Daisy will use more white beads.
D.
Mindy will use 15 white beads and Daisy will only use 14 white beads, so Mindy will use more white beads.
PLEASE HURRY!
To solve this problem, we can create tables of equivalent ratios to determine the number of white beads used by each person.
For Mindy:
4 red beads : 5 white beads
12 red beads : x white beads
To find the value of x, we can create a proportion:
4/5 = 12/x
Cross-multiplying, we get 4x = 60
Dividing both sides by 4, we find x = 15
Therefore, Mindy will use 15 white beads.
For Daisy:
6 red beads : 7 white beads
12 red beads : x white beads
Again, we can create a proportion:
6/7 = 12/x
Cross-multiplying, we get 6x = 84
Dividing both sides by 6, we find x = 14
Therefore, Daisy will use 14 white beads.
Based on these calculations, the answer is option D. Mindy will use 15 white beads and Daisy will only use 14 white beads, so Mindy will use more white beads.
To solve this question, we need to create tables of equivalent ratios for Mindy and Daisy.
For Mindy:
- Mindy uses 4 red beads for every 5 white beads.
- Mindy will use 12 red beads, so we can write the ratio as 4:5.
| Red Beads | White Beads |
|:--------:|:----------:|
| 4 | 5 |
| 8 | 10 |
| 12 | 15 |
For Daisy:
- Daisy uses 6 red beads for every 7 white beads.
- Daisy will also use 12 red beads, so we can write the ratio as 6:7.
| Red Beads | White Beads |
|:--------:|:----------:|
| 6 | 7 |
| 12 | 14 |
| 18 | 21 |
Now, looking at the tables, we can see that Mindy will use 15 white beads and Daisy will use 14 white beads.
Therefore, the correct answer is:
D. Mindy will use 15 white beads and Daisy will only use 14 white beads, so Mindy will use more white beads.
To determine who will use more white beads, we need to set up equivalent ratios for both Mindy and Daisy based on the number of red beads they use.
For Mindy:
Mindy uses 4 red beads for every 5 white beads.
If Mindy uses 12 red beads, we can set up a ratio like this:
4 red beads : 5 white beads = 12 red beads : x (unknown number of white beads)
To find x, we can use proportions:
(4/5) = (12/x)
Cross-multiplying, we get:
4x = 12 * 5
4x = 60
x = 60/4
x = 15
So, Mindy will use 15 white beads when she uses 12 red beads.
For Daisy:
Daisy uses 6 red beads for every 7 white beads.
Using the same process, we can set up the ratio:
6 red beads : 7 white beads = 12 red beads : x
Propotionally, we have:
(6/7) = (12/x)
Cross-multiplying, we get:
6x = 12 * 7
6x = 84
x = 84/6
x = 14
So, Daisy will use 14 white beads when she uses 12 red beads.
From the calculations, we can see that Mindy will use more white beads than Daisy. Therefore, the correct answer is option D. Mindy will use 15 white beads, while Daisy will only use 14 white beads.