The type of stamps are 49-cent stamps and 8-cent stamps. Their names also give the value.
“The number of 49 cent stamps was four more than twice the number of 8 cent stamps.”
Letx=number of 8-cent stamps2x+4=number of 49-cent stamps
| Type |
Number |
Value ($ ) |
Total Value ($ ) |
| 49-cent stamps |
2x+4 |
0.49 |
0.49(2x+4) |
| 8-cent stamps |
x |
0.08 |
0.08x |
|
10.44 |
|
|
|
|
| Write the equation from the total values. |
0.49(2x+4)+0.08x=10.44 |
| Solve the equation. |
0.98x+1.96+0.08x=10.44 1.06x+1.96=10.44 1.06x=8.48 x=8 |
| Monica bought 8 eight-cent stamps. |
|
| Find the number of 49-cent stamps she bought by evaluating. |
2x+4forx=8. |
|
2x+4 2⋅8+4 16+4 20 |
| Check. 8(0.08)+20(0.49)=?10.44 0.64+9.80=?10.44 10.44=10.44✓ |
|
Monica bought eight 8-cent stamps and twenty 49-cent stamps.