Question

Sven has $1 and a dime in his pile Dayna has 11 dimes in her pile if Sven gives Dayna $1 and Dayna gives Sven ten dimes will the two piles still be equal in value?

Answer 1

The two piles will still be equal in value

Explanation:

From the question,

Sven has $1 and a dime in his pile, and

Dayna has 11 dimes in her pile.

Now,

If Sven gives Dayna $1 and Dayna gives Sven ten dimes,

To determine if the two piles will still be equal in value,

First, we will determine what each of Sven and Dayna has presently.

For Sven,

He has $1 and a dime, he gives out $1 and received ten dimes, that means

$1 + 1 dime - 1$ + 10 dimes = 11 dimes

Now, Sven has 11 dimes with him

For Dayna,

She has 11 dimes, she gave out 10 dimes and received 1$, that means

11 dimes - 10 dimes + $1 = $1 and a dime

Now, Dayna has $1 and a dime.

To determine if the two piles will still be equal, we will convert Dayna's dollar ($) to dimes

(NOTE: 10 dimes make a dollar, that is, 10 dimes = $1)

Dayna has $1 and a dime,

$1 + 1 dime = 10 dimes + 1 dime = 11 dimes

∴ She has 11 dimes.

Since, Sven has 11 dimes as well,

Hence, the two piles will still be equal in value.