How many gold coins are you there in a jar of 90 coins , if there are 1/4 as many silver coins as gold coins?
90 coins divided by 5 equal sections where 4 are gold coins.
90/5=18
18*4=72
72 gold coins (and 18 silver ones).
To determine the number of gold coins in the jar, we need to find out how many silver coins there are first. It is given that there are 1/4 as many silver coins as gold coins.
Let's assume the number of gold coins in the jar is G.
The number of silver coins, then, would be 1/4 of G, or (1/4) * G.
We know that the total number of coins in the jar is 90.
So, we can write the equation: G + (1/4) * G = 90.
Combining like terms, we have:
(5/4) * G = 90.
To isolate G, we divide both sides of the equation by (5/4):
G = (90 * 4) / 5.
Evaluating this expression:
G = 360 / 5.
Therefore, the number of gold coins in the jar is 72.
To find the number of gold coins in the jar, we can start by determining the number of silver coins and then use this information to find the number of gold coins.
We are given that there are 1/4 as many silver coins as gold coins. Let's denote the number of gold coins as "G" and the number of silver coins as "S".
According to the given information, we can write the equation:
S = (1/4)G
We also know that the total number of coins in the jar is 90:
G + S = 90
Now, substitute the value of S from the first equation into the second equation:
G + (1/4)G = 90
Combining like terms, we have:
(5/4)G = 90
To isolate G, we need to multiply both sides of the equation by the reciprocal of (5/4), which is (4/5):
G = 90 * (4/5)
Simplifying further:
G = 72
Therefore, there are 72 gold coins in the jar of 90 coins.