Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30. How many quarters and how many nickels are in the jar?

A. 46 quarters; 104 nickels
B. 75 quarters; 75 nickels
C. 104 quarters; 46 nickels
D. 95 quarters; 55 nickels

x − n u mb er o f ni c k e l s y − n u mb er o f q u a r t ers { 0.05 x + 0.25 y = 28.3 x + y = 150 ​ F ro m f i rs t e q u a t i o n : x = 150 − y S u b s t i u t e t o seco n d : 0.05 ( 150 − y ) + 0.25 y = 28.3 7.5 − 0.05 y + 0.25 y = 28.3 − 0.05 y + 0.25 y = 28.3 − 7.5 0.2 y = 20.8 ∣ : 0.2 y = 104 x = 150 − 104 = 46 A n s w er c .

Answered by luana | 2024-06-10

The correct answer is c. because 104 times 25 is 2600 and 46 times 5 is 230. All you do is put in the decimals :)

Answered by emilywiggins6 | 2024-06-10

Hannah has 104 quarters and 46 nickels in the jar. This was determined by solving a system of equations based on the total number of coins and their value. The selected option is A: 46 quarters; 104 nickels.
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Answered by luana | 2024-12-26