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atroni [7]
3 years ago
7

The value of Ari's rolls of coins is $113.00. If pennies and dimes come in rolls of 50 coins each, and nickels and quarters come

in rolls of 40 coins each, which of these combinations could Ari have?
A. 5 rolls of pennies, 8 rolls of nickels, 4 rolls of dimes, and 7 rolls of quarters
B. 4 rolls of pennies, 8 rolls of nickels, 7 rolls of dimes, and 5 rolls of quarters
C. 4 rolls of pennies, 8 rolls of nickels, 5 rolls of dimes, and 7 rolls of quarters
D. 5 rolls of pennies, 8 rolls of nickels, 7 rolls of dimes, and 4 rolls of quarters

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Answer:

Option C is correct.

Step-by-step explanation:

Given is :

The value of Ari's rolls of coins is = $113

The coins are pennies, dimes, nickels and quarters.

Total money is represented by = penny + nickle + dime + quarter  All values in dollars are represented by:

113 = .01* pennies + .05* nickles + 0.1* dimes + 0.25* quarters  

Further calculating we get,

113 = .01* 50*penny rolls + .05 * 40*nickle rolls + .1 * 50*dime rolls + .25 * 40*quarter rolls  

113=.5p+2n+5d+10q

where p is the number of penny rolls, n is the number of nickle rolls, d is the number of dime rolls, and q is the number of quarter rolls  

Now checking all the options by putting values.

A. 113=.5(5)+2(8)+5(4)+10(7)

113\neq 108.5

B. 113=.5(4)+2(8)+5(7)+10(5)

113\neq 103

C. 113=.5(4)+2(8)+5(5)+10(7)

113=113

D. 113=.5(5)+2(8)+5(7)+10(4)

113\neq 93.5

Therefore, option C is the right option.

Arte-miy333 [17]3 years ago
7 0
An odd number of rolls of pennies ($0.50 each) cannot be part of the solution, making answers A and D not worthy of consideration.

The correct choice is C.

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