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Nimfa-mama [501]
3 years ago
10

tom sold half of his comic books and then bought six more. he now has 12. how many did he begin with?

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0
B=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books

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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
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The picture in the attached figure

let
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we know that
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step 1
find the percentage of women and men voters
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central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

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