Question 1431
Cost of red bead box = $1.30
Cost of yellow bead box = $2.00

Let number of red beads boxes be x
Let number of yellow beads boxes be y

Total number of boxes = 10
Cost of each box = $1.72
Cost of 10 boxes = 1.72 x 10 = $17.2

The equations are 
x + y = 10 -----------------(1)
1.3x + 2y = 17.2 -----------(2)

Solving the equations (1) and (2) gives

Multiply eqn (1) by 2

2x + 2y = 20 ---------------(3)

Eqn (3) - (1) gives

2x - 1.3x + 2y - 2y = 20 - 17.2
.7x = 2.8
x = 2.8/.7 = 4

Therefore x + y = 10
4 + y = 10
y = 10 - 4 = 6

Number of red beads boxes is 4
and number of yellow beads boxes is 6