Write an algebraic equation for the following problem and then solve it. Whe

Wribreeminsl 2021-09-23 Answered
Write an algebraic equation for the following problem and then solve it.
When Angela and Walker first started working for the supermarket, their weekly salaries totaled $500. Now during the last 25 years Walker has seen his weekly salary triple. Angela has seen her weekly salary become four times larger. Together their weekly salaries now total $1740. How much did they each make 25 years ago?
The algebraic equation is ___\(\displaystyle={1740}\).

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Expert Answer

komunidadO
Answered 2021-09-24 Author has 10723 answers
Step 1
Let the Angela and Walker weekly salaries 25 years ago in dollars be x and y.
Since, 25 years ago their total weekly salaries is $500.
\(\displaystyle\therefore{x}+{y}={500}\)
Step 2
Now, Angela and walker salaries are four and three times than earlier respectively.
Since, their total weekly salaries is $1740.
\(\displaystyle\therefore{4}{x}+{3}{y}={1740}\)
Step 3
Now, solving the equation
From (i), we have
\(\displaystyle{x}+{y}={500}\)
\(\displaystyle{x}={500}-{y}\) (ii)
Step 4
Putting eq.(iii) in eq.(ii), we get
\(\displaystyle{4}{\left({500}-{y}\right)}+{3}{y}={1740}\)
\(\displaystyle{2000}-{4}{y}+{3}{y}={1740}\)
\(\displaystyle-{y}={1740}-{2000}\)
\(\displaystyle-{y}=-{260}\)
\(\displaystyle{y}={260}\)
\(\displaystyle\therefore{x}={500}-{260}={240}\)
Step 5
Answer
Therefore, Angela and Walker weekly salaries 25 years ago in dollars is 240 and 260 respectively.
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