Answer:
The number of nickels are 16 and the number of dimes are 14.
Step-by-step explanation:
As given
Let n represent the number of nickels.
let d represent the number of dimes.
As given
Luis is saving money to purchase a new video game.
He has a total of 30 coins consisting of nickels and dimes.
Than the equation becomes
n + d = 30
As the value of the coins is $2.20.
As 1 nickel = 0.05 dollars
1 dimes = 0.1 dollars
Than the equation becomes
0.05n + 0.1d = 2.20
Simplify the above
L.C.M of (10,100) = 100
Than
5n + 10d = 220
Than two equations are
n + d = 30 and 5n + 10d = 220
Multiply n + d = 30 by 5 and subtracted from 5n + 10d = 220 .
5n - 5n + 10d - 5d = 220 - 150
5d = 70
d = 14
Put in the equation n + d = 30
n + 14 = 30
n = 30 - 14
n = 16
Therefore the number of nickels are 16 and the number of dimes are 14.
The observatory telescope has 22 times the magnifying power compared to the small telescope.
Data;
To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.
The magnification of the observatory telescope is 22 times greater or larger than the small telescope.
Learn more on division of numbers here;