Question

Sandra has a collection of beads. Of all the beads, 2/3 are red, 1/4 are pink, and the rest are white. There are 28 more red beads than white beads. How many beads does Sandra have altogether? (PLEASE SHOW STEPS!)

Answer 1

Let x be the total number of beads.
Red beads: 2/3*x
Pink beads: 1/4*x
White beads: x-2/3x-1/4x = 12/12x-8/12x-3/12x = 1/12x
Using the 28 more, you get the equation
Red -28 = White
Substituting x for each, you get:
2/3x - 28 = 1/12x
8/12x - 28 = 1/12x
7/12x = 28
1/12x = 4
x = 48 beads in total