Let the Number of Square feet Painted by each Mother be : M
Let the Number of Square feet Painted by each Daughter be : D
On Saturday : 8 Mothers worked with 12 Daughters and painted 220 Square feet
⇒ 8M + 12D = 220
Dividing the above Equation with 4
⇒ 2M + 3D = 55 ---------------- [1]
On Sunday : 6 Mothers worked with 8 Daughters and painted 152 Square feet
⇒ 6M + 8D = 152
Dividing the above equation with 2
⇒ 3M + 4D = 76 --------------- [2]
Multiplying Equation [1] with 3, We get :
⇒ 6M + 9D = 165 ------------------- [3]
Multiplying Equation [2] with 2, We get :
⇒ 6M + 8D = 152 -------------------- [4]
Subtracting Equation [4] from Equation [3], We get :
⇒ (6M + 9D) - (6M + 8D) = 165 - 152
⇒ 6M + 9D - 6M - 8D = 13
⇒ D = 13
Substituting D = 13 in Equation [1] , We get :
⇒ 2M + 3(13) = 55
⇒ 2M + 39 = 55
⇒ 2M = 55 - 39
⇒ 2M = 16
⇒ M = 8
⇒ Number of Square feet Painted by each Mother : 8
⇒ Number of Square feet Painted by each Daughter : 13
