A school band is having a fundraiser. Band members will sell coupon books for $10 each. The band earns $12.50 for every 5 coupon books that are sold.
a. After the first week, the band members had sold 105 coupon books. How much money did the band members earn from the 105 coupon books? Show your work or explain how you know.
b. The band raised a total of $1062.50. How many coupon books did the band members sell? Show your work or explain how you know.
a. 12.50/5 = P (profit per book)
105P = ?
b. 1062.50/P = ?
a. To find out how much money the band members earned from selling 105 coupon books, we need to determine the number of sets of 5 coupon books that were sold. Since the band earns $12.50 for every 5 coupon books, we can divide the total number of coupon books sold (105) by 5 to find the number of sets.
105 coupon books / 5 = 21 sets of 5 coupon books
Now, we can multiply the number of sets (21) by the amount earned per set ($12.50) to find the total amount earned:
21 sets × $12.50/set = $262.50
Therefore, the band members earned $262.50 from selling 105 coupon books.
b. To find out how many coupon books the band members sold to raise a total of $1062.50, we need to find the number of sets of 5 coupon books that were sold. Since the band earns $12.50 for every 5 coupon books, we can divide the total amount raised ($1062.50) by $12.50 to find the number of sets.
$1062.50 / $12.50 = 85 sets of 5 coupon books
Now, we can multiply the number of sets (85) by the number of coupon books per set (5) to find the total number of coupon books sold:
85 sets × 5 coupon books/set = 425 coupon books
Therefore, the band members sold 425 coupon books to raise a total of $1062.50.