A jar contains 40 coins consisting of dimes and quarters having a total value of $4.90 how many of each coin are there

There are 34 dimes and 6 quarters in the jar.

Step-by-step explanation:

1. Let's check the information given to us to answer the question correctly:

Number of dimes and quarters = 40

Total value of the 40 coins = US$ 4.90

2. How many of each coin are there?

x = Number of dimes

y = Number of quarters

System of equations:

x + y = 40

0.10x + 0.25y = 4.90

Solve for y on the 1st equation:

x + y = 40

y = 40 - x

Substitution of y for solving for x on the 2nd equation:

0.10x + 0.25y = 4.90

0.10x + 0.25 (40 - x) = 4.90

0.10x + 10 - 0.25x = 4.90

-0.15x = 4.90 - 10

-0.15x = - 5.10

x = - 5.10/-.015

x = 34 ⇒ y = 6

There are 34 dimes and 6 quarters in the jar.