13 of Adam's money is equal to
23 of Bryan's money.
Adam has $204.
- How much does Bryan have?
- How much does Adam have more than Bryan?
- How much do they have altogether?
(a)
Make the numerators the same using the LCM of 1 and 2.
LCM of 1 and 2 = 2
1 x 23 x 2 of Adam's money =
2 x 13 x 1 of Bryan's money
26 of Adam's money =
23 of Bryan's money
Amount that Adam has = 6 u
Amount that Bryan has = 3 u
6 u = 204
1 u = 204 ÷ 6 = 34
Amount that Bryan has
= 3 u
= 3 x 34
= $102
(b)
Amount that Adam has more than Bryan
= 6 u - 3 u
= 3 u
= 3 x 34
= $102
(c)
Amount that they have altogether
= 6 u + 3 u
= 9 u
= 9 x 34
= $306
Answer(s): (a) $102; (b) $102; (c) $306