Question

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Part 1
Lyla has ​$1 and 10 dimes in her pile. Brody has 20 dimes in his pile. If Lyla gives Brody ​$1 and Brody gives Lyla 10 dimes​, will the two piles still be equal in​ value? Explain.
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Part 1
Select the correct choice below and fill in the answer boxes to complete your choice.
A.
​No, ​$1 is equal to
  
enter your response here dime left parenthesis s right parenthesis. Lyla subtracted the value of ​$
  
enter your response here and then added the value of ​$
  
enter your response here to her pile. Brody subtracted the value of ​$
  
enter your response here and then added the value of ​$
  
enter your response here to his pile. The value of each pile is now different.
B.
​Yes, ​$1 is equal to
  
enter your response here dime left parenthesis s right parenthesis. Lyla and Brody subtracted the value of ​$
  
enter your response here and then added the same amount to each pile. The value of each pile is still equal.

Answer 1

B. Yes. $1 is equal to 10 dimes. Lyla and Brody subtracted the value of $1 and then added the same amount ($1) to each pile.

Check: Initially each has $2 (Lyla: $1 + 10 dimes = $2; Brody: 20 dimes = $2). After the swap each still has $2, so the piles remain equal.