Grade 4 - Progress in Mathematics

31

Pat’s bank holds dimes and quarters. There

are 4 more dimes than quarters in the bank.

The value of all the coins is $ 2.85.

How many quarters are in Pat’s bank?

First guessa number of quarters. 5 quarters

Add 4 to find the number of dimes. 9 dimes

Then testto find whether the value of the

coins equals $ 2.85.

Make a table to record your guesses.

The third guess is correct because:


 11 dimes is 4 coins more than 7 quarters.


 7 quarters ($1.75) and 11 dimes ($1.10)

equal $ 2.85.

Visualize yourself in the problem as you

reread it. Focus on the facts and questions.

Facts: bank holds dimes and quarters

4 more dimes than quarters

$ 2.85 in quarters and dimes

Question: How many quarters are

in Pat’s bank?

Strategy: Guess and Test

Guesses

1st

2nd

3rd

Quarter Value Dime Value Total Value Test

5 quarters 
 $1.25

6 quarters 
 $1.50

7 quarters 
 $1.75

9 dimes 
 $. 90

10 dimes 
 $1.00

11 dimes 
 $1.10

$1.25  $. 90 
 $2.15

$1.50  $1.00 
 $2.50

$1.75  $1.10 
 $2.85

too low

too low

correct

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