MATH WORD PROBLEM- PLEASE EXPLAIN STEP BY STEP ?
The product of the ages of Dora and Phil is 243. Phil is 3 times as old as Dora. How old is Phil?
The product of the ages of Dora and Phil is 243. Phil is 3 times as old as Dora. How old is Phil?
Krishnamurthy
D*P = 243
D(3D) = 243
D^2 = 81
D = 9
Phil is 27 years old.
Iggy Rocko
D * P = 243
P = 3D
Solve the system of equations.
D = 9
P = 27
lenpol7
Dx P = 243
P = 3D
Substitute
D x 3D = 243
3D^2 = 243
D^2 = 243/3 = 81
D = sqrt(81) = 9
Hece P = 3x 9 = 27
?
You have two unknown variables. Label them.
You have information about those variables forming two equations. Two unknowns with two equations => you can solve for the unknowns.
billrussell42
D•P = 243
P = 3D
substitute
D(3D) = 243
3D² = 243
D² = 81
D = √81 = 9
P = 3D = 27
check
27•9 = 243