Question

A motel clerk counts his​ $1 and​ $10 bills at the end of a day. He finds that he has a total of 60 bills having a combined monetary value of ​$186. What is the system of equations that can be used to find the number of $1 bills, x, and the number of $10 bills, y, that he has? (1 point)

A. x+y=60
x+10y=186
B. x+y=186
10x+y=60
C.x+y=186
x+10y=60
D.x+y=60
10x+y=186

Answer 1

Answer:The motel clerk has 33 $1 bills and 18 $10 bills.

Explanation:

Let the number of $1 bills = x, so then number of $10 bills is 51-x.From the problem description, you can write:x($1)+(51-x)($10) = $213 Simplify and solve for x.x+510-10x = 213-9x+510 = 213 Add 510 to both sides.-9x = -297 Divide both sides by -9x = 33 and 51-x = 51-33 = 18.