A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?

Rationale

She needs to purchase 5 packets of balloons.

To determine the number of packets required, we first calculate the total number of balloons needed for the party, which is 16 children multiplied by 15 balloons each, totaling 240 balloons. Since each packet contains 50 balloons, dividing 240 by 50 gives us 4.8, which means she needs to round up to 5 packets to ensure everyone gets their balloons.

A (50) YOUR ANSWER

This option suggests buying 50 packets of balloons, which would provide a total of 2,500 balloons (50 packets x 50 balloons). This quantity far exceeds the 240 balloons needed for the party, making it an impractical and excessive choice.

B (6) YOUR ANSWER

Choosing 6 packets would yield 300 balloons (6 packets x 50 balloons), which is more than enough for the 240 balloons required. While this option would technically provide sufficient balloons, it does not represent the minimum number of packets needed.

C (5) CORRECT

This is the correct option as it calculates exactly the number of packets needed. By purchasing 5 packets, the mother will have 250 balloons (5 packets x 50 balloons), which adequately covers the 240 balloons necessary for the children at the party.

D (17) YOUR ANSWER

Selecting 17 packets would result in 850 balloons (17 packets x 50 balloons), which is significantly more than what is required. This choice is not only excessive but also disregards the objective of minimizing costs and resources.

Conclusion

The correct calculation for the number of packets needed comes from understanding that 240 balloons are required for the birthday party. By determining that each packet contains 50 balloons, the mother concludes that 5 packets will provide a sufficient number of balloons while avoiding waste and unnecessary expense. Hence, option C reflects the minimum number of packets necessary to meet the needs of the party attendees.

A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?

She needs to purchase 5 packets of balloons.

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