University:
University of Cambridge
Course:
0580 IGCSE | Mathematics
Academic year:

2023
Views:

26

Pages:

2
Author:

Shahbaz A.

Q73 Algebra Word Problems Packet No 1 shahbaz ahmed August 2024 Q73 Brian wants to earn at least $20 this week to go to the fair. His father said he will pay him $9 for mowing the lawn and $2.75 an hour to weed the flower bed. Brian has decided to do both chores. What is the minimum number of hours he will need to weed to earn at least $20? Solution Let the minimum number of hours he will need to weed to earn at least $20? = x hours. Paid for mowing the lawn= $ 9 Paid to weed the flower bed for an hour= $2.75 Paid to weed the flower bed for x hours= $2.75x Total earning=$ (9+2.75x) Given total earning=$20 1 According to the condition 9 + 2.75x = 20 9 + 2.75x − 9 = 20 − 9 2.75x = 11 x= 11 2.75 x=4 The minimum number of hours he will need to weed to earn at least $20? = 4 hours. Checking Paid for mowing the lawn= $ 9 Paid to weed the flower bed for an hour= $2.75 Paid to weed the flower bed for 4 hours= $2.75 × 4= $ 11 Total earning=$ (9+11)= $ 20 Given total earning=$20 Given condition is satisfied 2