Question

Jimmy has more than 123 dimes in his piggy bank. The number of dimes in his piggy bank is three times the number of quarters. Jimmy has x quarters in his piggy bank. The inequality that represents this situation is x >____ . The fewest number of quarters Jimmy could have in his piggy bank is ___ .

Answer 1

the inequality is
x > 123/3
x>41
the fewest number he could have is 42 because it's more than 41

Answer 2

1st part :
`x>41`

2nd part : 42

Explanation:

Let the dimes be represented by d

Let the quarters be represented by x

Given is - Jimmy has more than 123 dimes in his piggy bank.

Means
`d>123` ... (1)

The number of dimes in his piggy bank is three times the number of quarters.

`d=3x` .....(2).

Plugging the value of 'd' from (2) in (1)

`3x>123`

=>
`x>123/3`

=>
`x>41`

So, the inequality that represents this situation is
`x>41`

The fewest number of quarters Jimmy could have in his piggy bank is 42. As it is the smallest whole number greater than 41.