Question

Ashley has a jar of money, containing only $5 and $20 notes. The total value of the money in the jar is $350. There are 31 notes in the jar. How many of each type of note is in the jar?

Answer 1

To solve this problem, we can use a system of equations. Let's assume that the number of $5 notes in the jar is x and the number of $20 notes is y. From the given information, we can set up two equations: x + y = 31 and 5x + 20y = 350.

Step-by-step explanation:

To solve this problem, we can use a system of equations. Let's assume that the number of $5 notes in the jar is x and the number of $20 notes is y.

From the given information, we can set up two equations: x + y = 31 (since there are 31 notes in the jar) and 5x + 20y = 350 (since the total value of the money in the jar is $350).

We can solve this system of equations by using the substitution method or the elimination method. Let's use the elimination method.

1. Multiply the first equation by 5: 5x + 5y = 155
2. Subtract the second equation from the first equation: (5x + 20y) - (5x + 5y) = 155 - 350
3. Simplify the equation: 15y = 195
4. Divide both sides of the equation by 15: y = 13
5. Substitute this value of y back into the first equation to solve for x: x + 13 = 31
6. Subtract 13 from both sides of the equation: x = 18

Therefore, there are 18 $5 notes and 13 $20 notes in the jar.