Whitney has a coin jar with a small collection of nickels and dimes. there are 69 coins in the jar. they have a value of $5.90. how many nickels and dimes are in the jar? use substitution to solve.

The number of nickels in the  jar is 20.

The number of dimes in the jar is 49.

Step-by-step explanation:

Let us assume the total number of nickels = x

The total number of dimes  = y

Total coins = 69 coins

⇒x + y =  69

Now as we know:

      1 Nickel = $0.05

and 1 Dime = $0.10

⇒ The value of x nickels = x ( $0.05)  = 0.05 x

and The value of y nickels  =  y ( $0.10)  = 0.10 y

Total amount in jar = $5.90         ⇒0.05 x + 0.10 y =  $5.90

So, the given system of equation is

x + y =  69    (1)

0.05 x + 0.10 y =  5.90   (2)

Substitute the value of y =  69 - x in (2) , we get:

0.05 x + 0.10 y =  5.90   ⇒ 0.05 x + 0.10 ( 69 - x)  = 5.90

or, 0.05 x +  6.9 - 0.10 x = 5.90

or, - 0.05 x = -1.00

⇒ x = 1/0.05 = 20, or x = 20

⇒ y =  69 - x  = 69 - 20  = 49

Hence the number of nickels in the  jar is 20

and the number of dimes in the jar is 49.

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

answer: what statements

step-by-step explanation if you write the statements down then i could you.