Carol Gates

2021-02-16

When solving systems of equations we have at least two unknowns. A common example of a system of equations is a price problem. For example, Jacob has 60 coins consisting of quarters and dimes.

The coins combined value is $9.45. Find out how many of each (quarters and dimes) Jacob has.

1.What do the unknowns in this system represent and what are the two equations that that need to be solved?

2.Finally, solve the system of equations.

The coins combined value is $9.45. Find out how many of each (quarters and dimes) Jacob has.

1.What do the unknowns in this system represent and what are the two equations that that need to be solved?

2.Finally, solve the system of equations.

Faiza Fuller

Skilled2021-02-17Added 108 answers

Step 1

Let he has x quarters and y dimes

He has total 60 coins

So,

Step 2

1 quarter

So, x quarters

1 dime

y dime

Total

He has total $9.45 or 945 cents

So,

Step 3

Then solve these two equations:

From

Plug this in

Result(1):Two unknowns are x and y. Where

Result(2): He has 23 quarters and 37 dimes.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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