Question

angelique had 20 tokens to use for games at the arcade. she lost some of them. her dad tripled the tokens she had left. angelique wrote the expression ( 3(20 - t) ) to find the number of tokens she has now, where ( t ) is the number of tokens she lost. dante correctly wrote another expression, ( 60 - 3t ), to find the number of tokens angelique has now. use the drop - down menus to explain what each part of angeliques and dantes expressions mean. angeliques expression: ( 3(20 - t) ) 3: triples angeliques tokens 20: ( ) t: ( ) ( 20 - t ): ( ) dantes expression: ( 60 - 3t ) 60: ( ) t: ( ) ( 3t ): ( ) ( 60 - 3t ): ( )

Explanation:

• Angelique's Expression \(3(20 - t)\):
• \(20\) represents the initial number of tokens Angelique had.
• \(t\) represents the number of tokens she lost.
• \(20 - t\) represents the number of tokens she had left after losing \(t\) tokens.
• Dante's Expression \(60 - 3t\):
• \(60\) is \(3\times20\), which is the number of tokens she would have if her initial \(20\) tokens were tripled without any loss (\(3\times20 = 60\)).
• \(t\) represents the number of tokens she lost.
• \(3t\) represents the number of tokens that were lost after tripling (since each lost token \(t\) is tripled in the context of the total - loss calculation).
• \(60 - 3t\) represents the number of tokens she has now (tripled initial tokens minus tripled lost tokens).

Answer:

• Angelique's Expression \(3(20 - t)\):
• \(20\): initial number of tokens.
• \(t\): number of tokens lost.
• \(20 - t\): tokens left after loss.
• Dante's Expression \(60 - 3t\):
• \(60\): tripled initial tokens (\(3\times20\)).
• \(t\): number of tokens lost.
• \(3t\): tripled lost tokens.
• \(60 - 3t\): tokens she has now.