Question

3. A restaurant bill of $350 was paid using $5 notes and $50 notes. The total number of
notes used was 16. Let x represent the number of $5 notes and y represent the
number of $50 notes.
Write two equations in x and y to represent the information given.
Hence, calculate the number of $5 notes and the number of $50
notes.​

Answer 1

The number of $5 notes is 10 and $50 notes is 6

Step-by-step explanation:

Let x be the number of $5 notes

and

y be the number of $50 notes

Then according to given statements

"The total number of notes used was 16."

x+y=16    Eqn 1

"A restaurant bill of $350 was paid using $5 notes and $50 notes."

5x+50y=350       Eqn 2

$From\ Eqn\ 1\\x+y=16\\y=16-x\\Putting\ y=16-x\ in\ equation\ 2\\5x+50(16-x)=350\\5x+800-50x=350\\-45x+800=350\\Subtracting\ 800\ from\ both\ sides\\-45x+800-800=350-800\\-45x=-450\\Dividing\ both\ sides\ by\ -45\\\frac{-45x}{-45}=\frac{-450}{45}\\x=10$

Putting x=10 in equation 1

$10+y=16\\y=16-10\\y=6$

So,

The number of $5 notes is 10 and $50 notes is 6

Keywords: Linear Equations, Variables

Learn more about linear equations at:

• brainly.com/question/2385771
• brainly.com/question/2386054

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