Answer
p = 660 and h = 580
↓Steps Explained:↓
Use the substitution method to solve:
0.25p + h = 745
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for p:
0.25p + h = 745
Plug Revised Equation 2 value into p:
0.5(p) + 0.75h = 765
0.5 * (745 - h) + 0.75h = 765
((372.5 - 0.5h)/0.25) + 0.75h = 765
Multiply equation 1 through by 0.25
0.25 * (((372.5 - 0.5h)/0.25) + 0.75h = 765)
0.25 * (((372.5 - 0.5h)/0.25) + 0.75h = 765)
372.5 - 0.5h + 0.1875h = 191.25
Group like terms:
-0.5h + 0.1875h = 191.25 - 372.5
-0.3125h = -181.25
Divide each side by -0.3125
| -0.3125h | |
| -0.3125 |
| = |
| -181.25 |
| -0.3125 |
| h = | -181.25 |
| -0.3125 |
h = 580
Plug this answer into Equation 1
0.5p + 0.75(580) = 765
0.5p + 435 = 765
0.5p = 765 - 435
0.5p = 330
Divide each side by 0.5
| 0.5p | |
| 0.5 |
| = |
| 330 |
| 0.5 |
| p = | 330 |
| 0.5 |
p = 660
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