Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
