After saving 2/7 of his salary, Henry has $1120 to spend.
John saves 3/8 of his salary. When both of them earn the same
amount, how much did both of them save?
If they both earn x, then
5/7 x = 1120
x = 1568
(2/7 + 3/8)*1568 = ____
Please see the analysis
Since, the total salary is :
$1120 / (1 - 2/7) = $1568 {division}
and 3/8 * $1568 = $588
$1568 - $1120 = $448
So, Henry saved $448, John saved $588.
588 + 448 = 1036
Let's first find out how much Henry earns.
Let's assume Henry's salary as x.
Henry saves 2/7 of his salary, so he spends 1 - 2/7 = 5/7 of his salary.
So, 5/7 of Henry's salary is $1120.
Let's set up an equation to solve for x:
(5/7)x = $1120
To isolate x, we can multiply both sides of the equation by 7/5:
x = ($1120) * (7/5)
x = $1568
Now, let's find out how much John earns.
John saves 3/8 of his salary, so he spends 1 - 3/8 = 5/8 of his salary.
Since both Henry and John earn the same amount, John earns $1568 as well.
So, John saves 3/8 of $1568:
(3/8) * $1568 = $588
Therefore, both Henry and John save a total of $588.
To find out how much Henry and John saved, we first need to determine their salaries.
Let's assume that Henry's salary is 'x'.
Henry saves 2/7 of his salary, so his savings can be calculated as (2/7) * x.
We are given that Henry has $1120 to spend after saving. Therefore, we can set up the equation:
x - (2/7) * x = $1120
Now, let's solve this equation to find the value of 'x'.
x - (2/7) * x = $1120
Multiply both sides of the equation by 7 to remove the fraction:
7x - 2x = $1120 * 7
Simplifying the equation:
5x = $7840
Dividing both sides of the equation by 5:
x = $7840 / 5
x = $1568
So, Henry's salary is $1568.
Now, let's find out how much John saved. John saves 3/8 of his salary:
John's savings = (3/8) * $1568
John's savings = $588
Therefore, Henry saved $1120, and John saved $588 when they earned the same amount.