Question

you spin each spinner and find the sum. how many different sums are possible?
the first spinner has sections labeled 5, 6, 7. the second spinner has sections labeled 5, 6, 7, 8.

Explanation:

Step1: List all spinner values

First spinner: $\{5, 6, 7\}$; Second spinner: $\{5, 6, 7, 8\}$

Step2: Calculate all possible sums

$5+5=10$, $5+6=11$, $5+7=12$, $5+8=13$
$6+5=11$, $6+6=12$, $6+7=13$, $6+8=14$
$7+5=12$, $7+6=13$, $7+7=14$, $7+8=15$

Step3: Identify unique sums

Extract distinct values from the sums: $\{10, 11, 12, 13, 14, 15\}$

Step4: Count unique sums

Count the number of distinct values.

Answer:

6