Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.
Sagot :
You give to each number a letter:
Number 1: x
Number 2: y
The sum of two numbers is 2490:
[tex]x+y=2490[/tex]8.5% of x is equal to 6.5% of y:
[tex]x\cdot\frac{8.5}{100}=y\cdot\frac{6.5}{100}[/tex]You use the equations above to find the numbers by substitution method:
1. Solve one of the variables in the first equation:
[tex]x=2490-y[/tex]2. Substitute the variable x in the second equation by the value in step 1:
[tex](2490-y)\cdot\frac{8.5}{100}=y\cdot\frac{6.5}{100}[/tex]3. Solve the equation in step 2 and find the value of y:
[tex](2490-y)0.085=0.065y[/tex]Remove parenthesis multipliying 0.085 for both terms in the parenthesis:
[tex]211.65-0.085y=0.065y[/tex]Add 0.085y in both sides of the equation:
[tex]\begin{gathered} 211.65-0.085y+0.085y=0.065y+0.085y \\ 211.65=0.15y \end{gathered}[/tex]Divide into 0.15 both sides of the equation:
[tex]\begin{gathered} \frac{211.65}{0.15}=\frac{0.15}{0.15}y \\ \\ 1411=y \end{gathered}[/tex]4. Use the value of y to find x:
[tex]\begin{gathered} x=2490-y \\ x=2490-1411 \\ x=1079 \end{gathered}[/tex]Then, the numbers are x=1079 and y=1411
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.
