Representation:
Let x be the number of days it takes Maymay to do the job alone.
Ed = 1
4 days
Maymay = 1
x days
Working together = 1
2 [tex] \frac{1}{3} } [/tex] days
= 1
[tex] \frac{7}{2} [/tex] days
= (1) (7/2) ⇒ 2/7 days
Equation:
1/4 + 1/x = 2/7
LCD: (4)(7)(x)
Solution:
1 (4)(7)(x) + 1 (4)(7)(x) = 2 (4)(7)(x)
4 x 7
7x + 28 = 8x
7x - 8x = -28
-x = -28
-x/-1 = -28/-1
x = 28
It would take Maymay 28 days to do the job alone.
Check:
1/4 + 1/28 = 2/7
LCD: 28
7/28 + 1/28 = 8/28
8/28 = 8/28
2/7 = 2/7
