Question

A very old vending machine accepts only nickels (n) and dimes (d). Candy costs up to $0.50, but sometimes the machine will dispense candy without any coins being inserted into the machine. Which inequality shows all of the ways to obtain a candy bar from the machine?

Answer 1

4th Option, D

Explanation:

e2020

Answer 2

Candy costs up to $0.50
It costs up to.

That means it cannot cost more than $0.50. It can cost $0.50 but it cannot cost more than that. The inequality will be less than or equal to 50 cents

50 cents is 1/2 a dollar.

Now a nickel equals 5 cents. 5 cents is 1/20th of a dollar.
Remember, one dollar = 100 cents

A dime equals 10 cents. 10 cents is 1/10th of a dollar

We get the inequality
`(n)/(20) + (d)/(10) \leq (1)/(2)` as your final answer.

I hope that helps! If you need any further clarifications, feel free to ask. :)