Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 10% are pennies and 34% are dimes. There are 7 more nickels than pennies. How much
money does the bag contain?

$6.35

Step-by-step explanation:

Number of pennies = 10% of the 50 coins = .10(50) = 5

Number of dimes = 34% of the 50 coins = .34(50) = 17

Number of nickels = 7 + no. of pennies = 7 + 5 = 12

Number of quarters = 50 - 5 - 17 - 12 = 16

Each penny is 1 cent, each nickel is 5 cents, each dime is 10 cents, and each quarter is 25 cents.

Amount of money in the bag = 5(1) + 17(10) + 12(5) + 16(25) = 5 + 170 + 60 + 400 = 635 cents = $6.35

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

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⇒ ⇒

factorizing, we get that:

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then, the solutions are: or

nothing extraneous has been found!