She needs 96 inches of lace because 4 x 24 is 96.
Red Circle:
First find the diameter
We can do that by counting the squares
Diameter:4
The radius is half of the diameter
4/2=2
Radius of the Red Circles:2
Blue Circle:
Diameter: 2
2/2=1
Radius of the Blue Circle:1
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):
5x + 10y = 725
x + y = 100
By substitution, we get:
5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55
100 - 55 = 45
Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.
To verify, plug and chug the results back into the original equations:
5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]
55 + 45 = 100 [OK]
Yeah it’s 33.3 because there 3 feet in a yard and 100 divided by 3 is 33.3 repeating.
