MATH SOLVE

3 months ago

Q:
# 3. A restaurant bill of $350 was paid using $5 notes and $50 notes. The total number ofnotes used was 16. Let x represent the number of $5 notes and y represent thenumber 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 $50notes.

Accepted Solution

A:

The number of $5 notes is 10 and $50 notes is 6Step-by-step explanation:Let x be the number of $5 notesand y be the number of $50 notesThen 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[tex]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[/tex]Putting x=10 in equation 1[tex]10+y=16\\y=16-10\\y=6[/tex]So,The number of $5 notes is 10 and $50 notes is 6Keywords: Linear Equations, VariablesLearn more about linear equations at:brainly.com/question/2385771brainly.com/question/2386054#LearnwithBrainly