The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.

The band needs to raise $2,400.00 to pay for a trip to the state capital to participate in a parade. They are selling 3-gallon tubs of caramel popcorn for $18.25 each. They have already raised $1,314.00 from the fundraiser.

If both are going to meet their goals, from this point on the
needs to sell
more items from their fundraiser than the
needs to sell from their fundraiser.

1 answer

Let's first determine how much more each group needs to raise to meet their goals.

Choir:

  • Total goal: $2,620.00
  • Amount already raised: $1,225.00
  • Amount still needed: \[ 2,620.00 - 1,225.00 = 1,395.00 \]

Now, we need to find out how many sets of candles they need to sell at $25.00 per set: \[ \text{Number of sets of candles needed} = \frac{1,395.00}{25.00} = 55.8 \] Since they cannot sell a fraction of a set, they need to sell at least 56 sets of candles.


Band:

  • Total goal: $2,400.00
  • Amount already raised: $1,314.00
  • Amount still needed: \[ 2,400.00 - 1,314.00 = 1,086.00 \]

Now, we need to find out how many tubs of caramel popcorn they need to sell at $18.25 each: \[ \text{Number of tubs needed} = \frac{1,086.00}{18.25} \approx 59.7 \] Again, since they cannot sell a fraction of a tub, they need to sell at least 60 tubs of popcorn.


Comparison:

  • Choir needs to sell 56 sets of candles.
  • Band needs to sell 60 tubs of popcorn.

Thus, the band needs to sell more items from their fundraiser than the choir.

Conclusion:

The band needs to sell more items from their fundraiser than the choir.