Ivan, David and Seth went shopping. Ivan and David spent a total of $256. Ivan and Seth spent $616 altogether. Seth spent 9 times as much as David.
- How much did David spend?
- How much did Ivan spend?
(a)
Amount that Ivan spent = I
Amount that David spent = D
Amount that Seth spent = S
I + S = 616
I + D = 256
D = 1 u
S = 9 x 1 u = 9 u
Amount that Seth spent more than David
= 9 u - 1 u
= 8 u
8 u = 616 - 256
8 u = 360
1 u = 360 ÷ 8 = 45
Amount that David spent
= 1 u
= $45
(b)
Amount that Ivan spent
= 256 - 45
= $211
Answer(s): (a) $45; (b) $211