Answer:
A: 25,500
B: 14,600
C: 10,900
Step-by-step explanation:
This is what we know:
a = b + c
a + b + c = 51,000 Substitute in a for b + c
a + a = 51000 Combine like terms.
2a = 51000 Divide both sides by 2
a = 25,500
28a + 16b + 12c = 1078400 Substitute in 25.600 for a
28(25500) + 16b + 12c = 1078400
714000 + 16b + 12c = 1078400 Subtract 714000 from both sides
16b + 12 c = 364400
25500 +b + c = 51000 Subtract 25500 from both sides
b + c + = 25500 Multiply this equation all the way through by -12 and add it to the bold equation above it.
-12b -12c = -306000
<u>16b + 12c = 364400</u>
4b = 58400 divide both sides by 4
b = 14600
a + b + c = 51000 Plug in what we know
25500 + 14600 + c = 51000
40100 + c = 51000 Subtract 40100 from both sides
c = 10900
