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

Answer:

1st part : $x>41$

2nd part : 42

Step-by-step 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.

Answer 2

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