A parent is planning a birthday party for their child and wants to give each child 15 balloons. How many packets are needed for 16 children?
5 packets are needed for 16 children.
To determine the number of packets needed, first calculate the total number of balloons required for 16 children, which is 16 multiplied by 15, equaling 240 balloons. If each packet contains 50 balloons, dividing 240 by 50 results in 4.8 packets. Since you cannot purchase a fraction of a packet, you would need to round up to 5 packets.
This choice suggests an excessive number of packets. If each packet has 50 balloons, then 17 packets would provide 850 balloons, far exceeding the 240 balloons needed for 16 children. This option is not appropriate as it overestimates the requirement.
This is the correct choice as it accurately accounts for the total number of packets needed. With 240 balloons required and each packet containing 50 balloons, 5 packets provide exactly 250 balloons, which satisfies the needs with a small surplus.
Choosing 50 packets would yield 2,500 balloons, which is drastically more than necessary for the 240 balloons needed. While it ensures there are enough balloons, it is impractical and wasteful to purchase such a large quantity.
Selecting 6 packets results in 300 balloons, which exceeds the requirement but does not reflect the minimum number of packets needed. While it would suffice, it is still not the most efficient choice compared to the correct answer of 5 packets.
In summary, the requirement of 240 balloons for 16 children necessitates the purchase of 5 packets, each containing 50 balloons. This calculation optimally meets the demand without excess, ensuring that the birthday party is well-prepared without overspending on unnecessary supplies.
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