Elijah has 40% more beads than Daniel. David has 80% the number of beads Elijah has.
- What is the ratio of the number of Daniel's beads to the number of David's beads?
- If the total number of beads of Elijah's and David's is 304 more than Daniel's, how many beads does Elijah have?
Elijah |
Daniel |
David |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Elijah's beads : Daniel's beads = 35 : 25
80% =
80100 =
45 David's beads : Elijah's beads = 28 : 35
Daniel's beads: David's beads = 25 : 28 (a)
Elijah's beads + David's beads = 35 u + 28 u = 63 u
Daniel's beads = 25 u
63 u - 25 u = 304
38 u = 304
1 u = 304 ÷ 38 = 8
Number of Elijah's beads
= 35 u
= 35 x 8
= 280 (b)
Answers: (a) 25 : 28; (b) 280