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amm1812
2 years ago
5

Max has a collection of 99 dimes and pennies worth $4.41. How many pennies does he have?

Mathematics
2 answers:
vladimir1956 [14]2 years ago
7 0
Delete or comment answer I'm tired sorry
Natali5045456 [20]2 years ago
4 0

Max has a collection of 99 dimes and pennies worth $4.41.

1 dime = 10 cents

1 penny = 1 cent

1 dollar = 100 cents so 4.41 dollars = 4.41* 100 = 441 cents

Lets 'd' be the number of dimes

Let 'p' be the number of pennies

dimes + pennies = 99

So equation-1 becomes d + p = 99

Worth of dimes and pennies is 440 cents

Worth of 'd' dimes is 10d

Worth of 'p' pennies is 1p

So the equation-2 becomes 10d + 1p = 441

Solve both the equations

10d + 1p = 441

d + p = 99

Multiply the second equation by 10 and then subtract it

10d + 1p = 441

-10d -10p =-990

--------------------

-9p =- 549

Divide by -9 on both sides

So p = 61

Max have 61 pennies .


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