Question

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1 : 2. Based on the information; the total number of coins in the collection now becomes.
A). 90
B). 80
C). 60
D). 50​

Answer 1

Answer:

Gold coins - G; Non-Gold Coins - N

Initial ratio = G:N = 1:3 or 3G = N

After adding 10 gold coins, the ratio becomes

(10+G):N = 1:2

2(10+G) = N or 20 + 2G = N = 3G

On solving, G = 20 and N = 60

Presently, the total number of coins in the collection = (10+G)+N = 10+20+60 = 90

Correct answer 90

please mark me as the Brainliest

Answer 2

Step-by-step explanation:

Let no. of coins be X

Therefore gold coins X and non  gold coins 3X

adding 10 gold coins for the ration of 2:1

it will become 10+X : 3x = 2:1

10+X / 3X = 2 / 1

Therefore X = 20

hence,

no. of gold coins = 10+X = 10+20 = 30

no. of non gold coins = 3X = 3 * 20 = 60

Total no. of coins = 30+60 = 90

option a is right answer