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denpristay [2]
3 years ago
10

Priam has pennies and dimes in a cup holder in his car. The total value of the coins is $4.21. The number of dimes is three less

than four times the number of pennies. How many pennies and how many dimes are in the cup?
Mathematics
2 answers:
aksik [14]3 years ago
8 0

Answer:

40 dimes and 21 pennies.

Step-by-step explanation:  40 dimes equal 4.00 so just add 21 pennies

dimaraw [331]3 years ago
5 0

Answer:

There are 11 pennies and 41 dimes in the cup.

Step-by-step explanation:

Let the pennies be represented by = p

Let the dimes be represented by = d

The total value of the coins is $4.21. We get the first equation as:

0.01p+0.10d=4.21     .......(1)

The number of dimes is three less than four times the number of pennies. We get the second equation as:

d=4p-3   ......(2)

Substituting the value of d from (2) in (1)

0.01p+0.10(4p-3)=4.21

Solving this we get;

0.01p+0.4p-0.3=4.21

=> 0.41p=4.21+0.3

=> 0.41p=4.51

We get p = 11

And d=4(11)-3 = 44-3

We get d = 41

Therefore, there are 11 pennies and 41 dimes in the cup.

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