SOLUTION: When 80% of a number is added to 10 the result is 14 more than 20% of twice the number

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Question 962440: When 80% of a number is added to 10 the result is 14 more than 20% of twice the number
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let a number be x
80%=0.80 of a number is 0.80x
20%=0.20
if added 0.80x to 10, we have 10%2B0.80x
if the result is 14 more than 0.20 of twice the number %282x%29, then we have
10%2B0.80x=0.20%282x%29%2B14........solve for x
10%2B0.80x=0.40x%2B14
0.80x-0.40x=14-10
0.40x=4
x=4%2F0.40
x=400%2F40

highlight%28x=10%29

check:
80% of 10 is 0.80%2A10=8
20% of 2%2A10 is 0.20%2A20=4
10%2B0.80x=10%2B8=18
0.20%282x%29%2B14=4%2B14=18