Answer:
140 coins.
Step-by-step explanation:
Let x be the total number of coins in Kate's collection.
We have been given that Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.
We need to figure out x such that 5% of x equals to 7. We can represent this information in an equation as:
[tex]\frac{5}{100}*x=7[/tex]
[tex]0.05*x=7[/tex]
[tex]x=\frac{7}{0.05}}[/tex]
[tex]x=\frac{700}{5}}[/tex]
[tex]x=140[/tex]
Therefore, the total number of coins in Kate's collection is 140 coins.
Correct response:
Given:
The number of her coins Kate keeps in a box = 7 coins
The percentage of the coin collection represented by the coins kept in the box = 5%
Required:
The total number of coins in Kate's coin collection.
Solution:
Let X represent the number of coins in Kate's coin collection, we have;
5% of X = 7
Therefore;
[tex]\dfrac{5}{100} \times X = 7[/tex]
[tex]X = 7 \times \dfrac{100 }{5} = \mathbf{140}[/tex]
Learn more about percentages here:
https://brainly.com/question/25785824
