Question

Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The equation 0.05n+0.1d=3.65 is one way to represent this situation. Which equation is equivalent to the equation 0.05n+0.1d=3.65?

a. 5n+d=3.65b.0.05n+d=3.65 c.5n+10d=3.65 d.0.05+0.1n=3.65

Answer 1

5n + 10 d = 365

Explanation:

The equation that represents a coin jar containing n nickels and d dimes worth a total of $3.65 is as follows :

0.05n+0.1d=3.65

We need to find the equivalent expression.

We can write the above expression as follows :

`(5)/(100)n+(1)/(10)d=(365)/(100)\\\\\text{LCM of 100 and 10 is 100}\\\\(5n+10d)/(100)=(365)/(100)\\\\5n+10d=365`

So, the equivalent expression is 5n + 10 d = 365