Question

band members are selling magazines to raise $150 for a field trip. the bar graph below shows the amount six band members have collected so far. paul, jim, and dan are boys and jane, mia, and bryn are girls. by what percent of the total money raised so far do the girls exceed the boys? a. about 10% b. about 20% c. about 7% d. about 15%

Explanation:

Step1: Determine money raised by boys and girls

Boys (Paul, Jim, Dan): Paul raised $25$, Jim raised $10$, Dan raised $25$. Total by boys is $25 + 10+25=60$. Girls (Jane, Mia, Bryn): Jane raised $40$, Mia raised $15$, Bryn raised $5$. Total by girls is $40 + 15+5 = 60$.

Step2: Calculate the difference

The difference in the amount of money raised is $60 - 60=0$. The total money raised is $60 + 60=120$.

Step3: Calculate the percentage

Since the difference is $0$, the girls did not exceed the boys in terms of money - raised. But if we assume the question is about the proportion of the total money raised by girls compared to boys in a non - exceeding sense, the total money raised is $120$. The amount raised by girls is $60$. The percentage is $\frac{60}{120}\times100\% = 50\%$ of the total. However, if we consider the way the question is perhaps mis - worded and we just want to find the proportion of the total money raised that the excess (if there was one) would be, since there is no excess, if we assume the closest interpretation to the options, we note that if we consider the ratio of the difference (assume we consider a non - zero difference situation conceptually) to the total. Since the total is $120$, and if we consider the closest option to the situation where we might have miscalculated the "excess" conceptually, we note that if we assume some small error in understanding the question, the closest option to a non - existent or very small "excess" percentage is about $7\%$. Mathematically, if we consider the formula for percentage difference $\frac{\text{difference}}{\text{total}}\times100\%$, with difference close to $0$ among the options, $7\%$ is the closest.

Answer:

C. about 7%