The total cost of the computer, the speaker and the lamp is $2000. The lamp costs four times as much as the speaker. The computer costs thrice as much as the total price of the lamp and speaker. How much more does the lamp cost than the computer?
| Lamp |
Speaker |
Computer |
| 4 u |
1 u |
|
| 5 u |
15 u |
| 4 u |
1 u |
15 u |
Cost of the speaker = 1 u
Cost of the lamp = 4 u
Total cost of the speaker and the lamp
= 1 u + 4 u
= 5 u
Cost of the computer
= 3 x 5 u
= 15 u
Total cost of the lamp, the speaker and computer
= 15 u + 1 u + 4 u
= 20 u
20 u = 2000
1 u = 2000 ÷ 20 = 100
Amount that the computer cost more than the lamp
= 15 u - 4 u
= 11 u
= 11 x 100
= $1100
Answer(s): $1100
