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
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-9p =- 549
Divide by -9 on both sides
So p = 61
Max have 61 pennies .
