Lydia takes seven minutes more to complete an illustration than Tom. The total time taken by both of them is six hours. How do you form an algebraic equation to express this and identify the variables, coefficients, and constants?

Question

Abigail Allen · Accepted Answer

#color(indigo)("variable " = x#

#color(indigo)("Coefficient of variable "= 2#

#color(indigo)(7, 360 " are the constants"# #"Let Time taken by Tom be " x# #"Time taken by Lydia " = x + 7 " min."# #"Total time taken by both " = x + x + 7 = 2x + 7 " min."# #"But given total time taken as " 6 hrs ' or " = 360 "min."# #:. 2x + 7 = 360 " min."# #color(indigo)("variable " = x# #color(indigo)("Coefficient of variable "= 2# #color(indigo)(7, 360 " are the constants"#

Savannah Anderson · Answer

undefined Let $ x $ be Tom's time in minutes. Lydia's time is $ x + 7 $ minutes.

Algebraic equation: $ x + (x + 7) = 360 $

Variables: $ x $ is Tom's time.

Coefficients: 1 (for $ x $), 1 (for $ x + 7 $).

Constant: 7 (in $ x + 7 $).

Total time is 360 minutes (6 hours).