12 of Adam's money is equal to
34 of Bryan's money.
Adam has $174.
- 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 3.
LCM of 1 and 3 = 3
1 x 32 x 3 of Adam's money =
3 x 14 x 1 of Bryan's money
36 of Adam's money =
34 of Bryan's money
Amount that Adam has = 6 u
Amount that Bryan has = 4 u
6 u = 174
1 u = 174 ÷ 6 = 29
Amount that Bryan has
= 4 u
= 4 x 29
= $116
(b)
Amount that Adam has more than Bryan
= 6 u - 4 u
= 2 u
= 2 x 29
= $58
(c)
Amount that they have altogether
= 6 u + 4 u
= 10 u
= 10 x 29
= $290
Answer(s): (a) $116; (b) $58; (c) $290