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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 ___ .

Respuesta :

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

Answer:

1st part : [tex]x>41[/tex]

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 [tex]d>123[/tex]   ... (1)

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

[tex]d=3x[/tex]    .....(2).

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

[tex]3x>123[/tex]

=> [tex]x>123/3[/tex]

=> [tex]x>41[/tex]

So, the inequality that represents this situation is [tex]x>41[/tex]

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

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