There are two price plans for the gym, Silver and Gold, as follows:
Silver
€420 for the year - Leaving Cert Mathematics - Question e - 2022
Question e
There are two price plans for the gym, Silver and Gold, as follows:
Silver
€420 for the year.
Pay €6 for each class.
Gold
€670 for the year.
All classes are free... show full transcript
Worked Solution & Example Answer:There are two price plans for the gym, Silver and Gold, as follows:
Silver
€420 for the year - Leaving Cert Mathematics - Question e - 2022
Step 1
Work out the inequality based on costs
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Answer
To find out when the Gold plan is cheaper than the Silver plan, we start by setting up the costs:
Cost of Silver plan: €420 + €6x (where x is the number of classes)
Cost of Gold plan: €670
We need to determine when:
€420 + €6x > €670.
Step 2
Solve the inequality
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Answer
Rearranging the inequality gives:
€6x > €670 - €420
Which simplifies to:
€6x > €250.
Dividing both sides by €6:
x > 41.67.
Step 3
Determine the least whole number of classes
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Answer
Since Sinéad cannot attend a fraction of a class, we round 41.67 up to the next whole number:
Thus, Sinéad must attend at least 42 classes in a year for the Gold plan to be cheaper than the Silver plan.
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