In his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.

Answers

Answer 1

There are 7 dimes and 9 quarters in his pocket.

Let the number of dimes be xLet the number of quarters be y

If there are 16coins in total, hence;

x + y = 16 ......................... 1

If hamid has $2. 95 in dimes and quarters, this is expressed as:

0.1x + 0.25y = 2.95 ............... 2

From equation 1

x = 16 - y ................. 3

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

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