Evan and Dorinda make bracelets for a craft fair.

Question

Evan makes 10 bracelets the first day and 8 bracelets each day after that.
Dorinda makes 8 bracelets the first day and 8 bracelets each day after that.
If they make bracelets for 6 days, how many bracelets will they make in all?
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(1 point)

Answer 1

To find the total number of bracelets Evan makes, we need to find the sum of the arithmetic sequence 10, 8, 8, 8, 8, 8.

The formula for finding the sum of an arithmetic sequence is:
S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, the first term (a) is 10, the last term (l) is 8, and the number of terms (n) is 6.

Therefore, the sum (S) of Evan's bracelets is:
S = (6/2)(10 + 8) = (3)(18) = 54

So, Evan makes a total of 54 bracelets.

To find the total number of bracelets Dorinda makes, we need to find the sum of the arithmetic sequence 8, 8, 8, 8, 8, 8.

Using the same formula, the sum (S) of Dorinda's bracelets is:
S = (6/2)(8 + 8) = (3)(16) = 48

So, Dorinda makes a total of 48 bracelets.

Finally, to find the total number of bracelets they make together, we add their individual totals:
54 + 48 = 102

Therefore, they will make a total of 102 bracelets.