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Joan sold half of her comic books and then bought 8 more. She now has 11. How many did she begin with?
Question
Joan sold half of her comic books and then bought 8 more. She now has 11. How many did she begin with?
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Mathematics
4 years
2021-08-19T14:43:05+00:00
2021-08-19T14:43:05+00:00 2 Answers
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Answers ( )
Answer:
6
Step-by-step explanation:
11-8=3
3×2=6
So, the answer is 6
Answer:
14
Step-by-step explanation:
Let’s construct an equation for the question and solve it
Let the number of comic books that Joan had in the beginning is
x
In the start she sold half her books (so,multiply by
1
2
)
x
⋅
1
2
Next, she bought
8
more books (so,add
8
)
x
⋅
1
2
+
8
At the last she has
15
books (so,let the equation equal
15
)
x
⋅
1
2
+
8
=
15
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now let’s solve the completed equation
→
x
⋅
1
2
+
8
=
15
Subtract
8
both sides
→
x
⋅
1
2
+
8
−
8
=
15
−
8
→
x
⋅
1
2
=
7
Multiply both sides by
2
→
x
⋅
1
2
⋅
2
=
7
⋅
2
⇒
x
=
14
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So Joan started with
14
comic books
Hope this helps !…
🙂