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 Angelique's and Dante's expressions mean.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 Angelique's and Dante's expressions mean.

Answer 1

3: tripples Angelique tokens

20: number of tokens she starts with

t: number of tokens she lost

20−t: the number of tokens she has left after she loses some

Dante's Expression: 60−3t

60: three times the number she starts with

t: number of tokens she lost

3t: three times the number of tokens she lost

60−3t: number of tokens she has after her dad triples them

Answer 2

Answer: Both the expressions are exactly same . Both are representing the number of tokens she has now.

Explanation:

Given: The total number of tokens Angelique has= 20

Since, she lost some of them, let the number of lost tokens be t.

Then, The remaining tokens she has = 20-t

Then her father triples the tokens she has.

now, the number of token she has=
`3(20-t)`....>Angelique's expression

By using distributive property,

The number of token she has=
`3*20-3t`

⇒The number of token she has=
`60-3t`...> Dante's expressions

Hence, both are the same expressions. Both are representing the number of tokens she has now.