Answer:
The number of bags of cookies do they make together is 11 .
Step-by-step explanation:
Given as :
The number of cookies baked by Glen alone = x = 16 cookies
The number of cookies baked by Alice alone = y = 32 cookies
Let the number of cookies baked by both together = z cookies
Now, According to question
Number of cookies baked by both together = number of cookies baked by Glen alone + number of cookies baked by Alice alone
Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex]
Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{16}[/tex] + [tex]\dfrac{1}{32}[/tex]
Taking LCM
[tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{2 + 1}{32}[/tex]
Or, [tex]\dfrac{1}{z}[/tex] = [tex]\frac{3}{32}[/tex]
Or, z = [tex]\dfrac{32}{3}[/tex]
i.e z = 10.67 ≈ 11
So, The number of bags of cookies do they make together = z = 11
Hence, The number of bags of cookies do they make together is 11 . Answer
