Mary has a $5 and some nickels. Jerry has $2 and

some dimes. Mary has the same of nickels as Jerry has dimes. How many coins do they each have if they have the same total amount?

3 answers

Let's assume Mary has $5 and Jerry has $2. To make the total amount the same, Mary must have the same amount of nickels as Jerry has dimes.

Let's assume the value of each nickel is $0.05 and the value of each dime is $0.10.

Let's say Mary has x nickels and Jerry has x dimes.

The value of x nickels is $0.05 * x = $0.05x.
The value of x dimes is $0.10 * x = $0.10x.

The total amount Mary has is $5 + $0.05x, and the total amount Jerry has is $2 + $0.10x.

Since they have the same total amount, we can set up the equation:
$5 + $0.05x = $2 + $0.10x.

Simplifying the equation, we get:
$5 - $2 = $0.10x - $0.05x,
$3 = $0.05x.

Dividing both sides of the equation by $0.05, we get:
x = $3 / $0.05,
x = 60.

Mary and Jerry each have 60 coins. Mary has 60 nickels and Jerry has 60 dimes.
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