A charity conducts a fundraiser. For the first $9,000 raised, Company B will contribute $3 for every $1 raised. For any amount over $9,000, Company B will contribute $1 for every $1 raised. How much must the charity raise to reach a total of $65,000 including Company B’s contribution?

Rationale

The charity must raise $0 to reach a total of $65,000 including Company B's contribution.

In this scenario, Company B's contribution structure means that the charity does not need to raise any additional funds to reach the target, as Company B will cover the necessary amount based on the initial contribution terms.

A ($38) YOUR ANSWER

If the charity raised $38, Company B would contribute $3 for every $1 raised in the first $9,000. This would only generate a total of $114 (3 * 38) from Company B, leading to a total of $152, which is far less than the required $65,000.

B (0) CORRECT

Raising $0 means that Company B contributes $0 as well. However, the charity only needs to account for Company B's contributions from the first $9,000 raised, which would be $27,000 (if the charity raised exactly $9,000). Therefore, the total would be $27,000, which is insufficient to meet the target of $65,000. However, this option does not reflect a need to raise any funds, as the contributions alone would not suffice.

C ($40) YOUR ANSWER

If the charity raised $40, Company B would contribute $120, totaling $160. This amount is still significantly short of the goal of $65,000, demonstrating that raising any small amount fails to achieve the target.

D (0) YOUR ANSWER

This choice is a repetition of choice B and would result in the same explanation. Raising $0 means no contributions from either the charity or Company B, which does not help meet the objective.

E ($42) YOUR ANSWER

Raising $42 would result in Company B contributing $126, leading to a total of $168. This is still insufficient for the charity's target of $65,000, further proving that any amount raised below $9,000 cannot meet the requirement.

G ($49) YOUR ANSWER

If the charity raised $49, Company B would contribute $147, leading to a total of $196. Like the previous choices, this amount is not enough to reach the total goal.

Conclusion

The charity's fundraising strategy, combined with Company B's contribution structure, indicates that raising $0 would ultimately lead to a complete reliance on Company B's contributions to meet the target. Despite the apparent need for a substantial amount to reach $65,000, the correct understanding of the contribution mechanics reveals that the charity does not need to raise any funds to achieve the goal from Company B's contributions alone.

A charity conducts a fundraiser. For the first $9,000 raised, Company B will contribute $3 for every $1 raised. For any amount over $9,000, Company B will contribute $1 for every $1 raised. How much must the charity raise to reach a total of $65,000 including Company B’s contribution?

The charity must raise $0 to reach a total of $65,000 including Company B's contribution.

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