3 years ago

How many Dimes and Quarters

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Answer:

Julian has <em>16 dimes</em> and <em>6 quarters</em>

Step-by-step explanation:

Let's suppose Julian has q quarters and d dimes

The total coins are 22, that is

q+d=22

q=22-d [1]

The total amount of money he has is 310 cents which are made of 10d dimes and 25q quarters

10d+25q=310

Simplifying by 5

2d+5q=62

Using the relation [1]

2d+5(22-d)=62

2d+110-5d=62

3d=48 => d=16

q=22-16 = 6

So Julian has 16 dimes and 6 quarters

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