Answer :
Answer:
8092
Step-by-step explanation:
First, I took the fact that there were 1428 more green beads than red beads. Because there is a 4:6:7 ratio of beads, we can say that 1428 is a factor of 3 (because the difference between 4 and 7 is 3). The best way to find the total amount of each kind of bead is to then find the amount for a factor of 1. To find this, we just divide 1428 by 3. We get 476. Now if we multiply 476 by each ratio value (4, 6, and 7) we get the total amount of each color bead. Red is 1904, purple is 2856, and green is 3332. All we have to do now is add the totals of each color and we get 8092 beads in the box. Hope this helps!