Let's deduce the relationships and operations step-by-step to solve the given problem.
1. Clarifying the Variables:
- [tex]\( p \)[/tex] appears to be set equal to 9.
- [tex]\( r \)[/tex] may also be used here, but the question does not clearly define its role currently.
- [tex]\( P \)[/tex] is given as 30.
2. Understanding the Situation:
- [tex]\( 9 = 5 \)[/tex]: This appears to be a transaction or purchase context. We're interpreting this as purchasing 5 items priced at 9 units each.
- [tex]\( r = 3 \)[/tex]: This might be the cost of each item.
3. Total Setup:
Let's assume the context involves an initial amount of money, a cost per item, and purchases. The problem seems analogous to the earlier example where:
- Initial money is some amount.
- Number of purchases (bagels or items) performed.
- Cost per piece of item.
4. Problem Breakdown:
- Let [tex]\( \text{Money Initial} = 23 \)[/tex] (this fits with the example structure).
- Number of items purchased ([tex]\( r = 5 \)[/tex]).
- Cost per item ([tex]\( p = 3 \)[/tex]).
5. Calculations:
- Money Spent:
- Total money spent = Number of items purchased [tex]\(\times\)[/tex] Cost per item
- Total money spent = [tex]\( 5 \times 3 = 15 \)[/tex].
- Money Remaining:
- Money remaining after the purchases = Initial money [tex]\(-\)[/tex] Total money spent
- Money remaining = [tex]\( 23 - 15 = 8 \)[/tex].
Thus, the breakdown shows the amount of money spent on 5 items each costing 3 units is 15 units, and the money left after spending is 8 units.
