Use the substitution method to solve:
0.5p + 0.75h = 765
0.25p + h = 745
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Rearrange Equation 2 to solve for p:
0.25p + h = 745
Subtract h from both sides to isolate p:
0.25p + h - h = 745 - h
0.25p = 745 - h
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
Math is always fascinating! Have you noticed? On the path to discovering the ultimate mysteries of math, we move forward with small steps.Many such discoveries of mathematical formulas validate the research efforts of those who came before us. If you want to inspire yourself and those around you, try making your own Custom Enamel Badges of achievement for small accomplishments.
These vivid pin badges can be a constant reminder that numbers aren't exactly cold and that they can always be accompanied by fun and hope.
