Three colleagues spent a total of $98. Nora spent $12 more than Mary and Diana spent $14 more than Nora.
- How much money did Mary spend?
- How much money did Diana spend?
(a)
Amount that Mary spent = 1 u
Amount that Nora spent = 1 u + 12
Amount that Diana spent = 1 u + 12 + 14 = 1 u + 26
Total amount that they spent
= 1 u + 1 u + 12 + 1 u + 26
= 3 u + 38
3 u + 38 = 98
3 u = 98 - 38
3 u = 60
1 u = 60 ÷ 3 = $20
Amount that Mary spent
= 1 u
= 20
(b)
Amount that Diana spent
= 1 u + 26
= 20 + 26
= $46
Answer(s): (a) $20; (b) $46