Alana earns $5 more than each week than her brother morgan. Together alana and morgans salaries totaled $365 per week. How much did alana and morgan earn each week

Answer 1

Let M = Amount Morgan earns each week.

M + 5 = Amount Alana earns each week.

M + (M + 5) is the total amount Alana and Morgan earn

each week.

M + (M + 5) = 365

2M + 5 = 365 (combining M's)

2M = 360 (subtracting 5 from both sides)

M = 180 (dividing both sides by 2)

Therefore, Morgan earns $180 per week.

Since Alana earns $5 a week more than Morgan,

then Alana earns $180 + $5 = $185 per week.

CHECKING:

Does M + (M + 5) = $365?

M + (M + 5) = 180 + (180 + 5) = 180 + 185 = 365