PSLENatalie, Elijah and Emma shared $420. Elijah received 30% more than Natalie while Emma received 50% less than Natalie. How much more than Emma did Elijah receive?
Natalie |
Elijah |
Emma |
Total |
100% |
130% |
|
|
100% |
|
50% |
|
10 u |
13 u |
5 u |
28 u |
Natalie : Elijah : Emma
100 : 130 : 50
(÷10)10 : 13 : 5
Natalie is the repeated identity.
Total amount that they shared
= 10 u + 13 u + 5 u
= 28 u
28 u = 420
1 u = 420 ÷ 28 = 15
Amount that Elijah received more than Emma
= 13 u - 5 u
= 8 u
= 8 x 15
= $120
Answer(s): $120