Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua

Question

2 years ago

6

rters how many of each coin does he have

1 answer:

Anarel [89] · Answer 1 · 2022-03-07T09:04:06+03:00

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630 Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490$

Dividing both sides by 35

$\frac{35x}{35}=\frac{490}{35}\\x=14$

Putting x=14 in Eqn 2

$y=14+14\\y=28$

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

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