There are 20% as many white marbles as gold marbles in Linda's collection of marbles. The number of yellow marbles is 30% fewer than the number of gold marbles. There are 250 more yellow marbles than white marbles.

1. Find the total number of marbles in the collection.
2. What percentage are the number of gold marbles as compared to the number of yellow marbles? Leave your answer as a mixed number in its simplest form.

White	Gold	Yellow
1x2	5x2
	10x1	7x1
2 u	10 u	7 u

(a)
20% = ²⁰₁₀₀ = ¹₅

100% - 30% = 70%
70% = ⁷⁰₁₀₀ = ⁷₁₀

The number of gold marbles is the repeated identity. Make the number of gold marbles the same.  LCM of 5 and 10 is 10.

Number of more yellow marbles than white marbles
= 7 u - 2 u
= 5 u

5 u = 250

1 u = 250 ÷ 5 = 50

Total number of marbles in the collection
= 2 u + 10 u + 7 u 
= 19 u
= 19 x 50
= 950

(b)
Percentage of the number of gold marbles as compared to the number of yellow marbles
= ¹⁰₇ x 100%
= ¹⁰⁰⁰₇ %
= 142⁶₇ %

Answer(s): (a) 950; (b) 142⁶₇ %