Answer:
The answer is 30
Step-by-step explanation:
First you have to find 120% of a (12).
[tex] \frac{12}{1} \times \frac{120}{100} = 14.4[/tex]
Therefore; 14.4 is 80% of b, and we are trying to find 100% of b
[tex]14.4 = 80\% \\ x = 100\%[/tex]
we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.
[tex]14.4 \times 100\% = 80\% \times x[/tex]
This is the same as saying;
[tex]14.4 \times 1 = x \times \frac{4}{5} [/tex]
100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).
so the new equation is: 14.4= 4/5x
We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30
