Question

Q6. A gas station offers two promotional reusable fountain drink cups over the

summer. The Silver Cup costs $10 and can be refilled all summer for $0.25
each refill. The Gold Cup costs $25 and comes with unlimited refills all summer.
Which inequality can be solved to find x, the number of refills needed to make
the Gold Cup a better value than the Silver Cup?

Answer 1

Inequality = 10 + 0.25x < 25

The value of x = x < 60

Explanation:

Now we have to,

→ find inequality used to solve for x.

Then the inequality will be,

→ $10 + 0.25x < $25

→ 10 + 0.25x < 25

Required value of x will be,

→ 10 + 0.25x < 25

→ 0.25x < 25 - 10

→ x < 15/0.25

→ [ x < 60 ]

Hence, the value of x < 60.

Answer 2

• 10 + 0.25x < 25
• Less than 60 refills makes the Gold Cup a better value

Explanation:

Let the number of refills be x.

Then the Silver Cup will cost:

• 10 + 0.25x

The cost of the Gold Cup is $25.

If we need the Gold Cup a better value, then required inequality is:

• 10 + 0.25x < 25

Solve it for x:

• 0.25x < 25 - 10
• 0.25x < 15
• x < 15/0.25
• x < 60