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.
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a. To find out how much money the band members earned from selling 105 coupon books, we need to determine how many sets of 5 coupon books were sold and then multiply that by the amount earned per set.
Step 1: Divide the total number of coupon books sold (105) by the number of coupon books per set (5): 105 ÷ 5 = 21.
Step 2: Multiply the number of sets sold (21) by the amount earned per set ($12.50): 21 × $12.50 = $<<21*12.50=262.50>>262.50.
Therefore, the band members earned $262.50 from selling 105 coupon books.
b. To determine how many coupon books the band members sold to raise a total of $1062.50, we need to divide the total amount raised by the amount earned per set.
Step 1: Divide the total amount raised ($1062.50) by the amount earned per set ($12.50): $1062.50 ÷ $12.50 = 85.
Therefore, the band members sold 85 coupon books to raise a total of $1062.50.
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 and calculate the total earnings.
Since the band earns $12.50 for every 5 coupon books sold, we can divide 105 by 5 to find out how many sets of 5 were sold:
105 / 5 = 21
Therefore, the band members sold 21 sets of 5 coupon books. To calculate the total earnings, we multiply the number of sets by the earnings per set:
21 * $12.50 = $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, given a total amount of $1062.50 raised, we need to determine the number of sets of 5 coupon books and then multiply by 5.
Since the band earns $12.50 for every 5 coupon books sold, we can divide the total amount raised by $12.50 to find out how many sets of 5 were sold:
$1062.50 / $12.50 = 85
Therefore, the band members sold 85 sets of 5 coupon books. To calculate the total number of coupon books sold, we multiply the number of sets by 5:
85 * 5 = 425
Therefore, the band members sold a total of 425 coupon books.