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

2023
Views:

307

Pages:

2
Author:

Shahbaz A.

Q 15,Q16 Algebra Word Problems Packet no 1 shahbaz ahmed July 2024 Q 15.It took Thomas 25 minutes longer to do his math homework than to do his French homework. He spent a total of 2.25 hours on both subjects. How much time did he spend on math? Solution Let time spent to do french homework=x minutes Time he spent on math= (x+25) minutes Time he spent on both subjects=x+x+25=2x+25 Total time spent=2.25 hours= (2 + 0.25) hours = (2 + 41 ) hours Total time spent=2.25 hours= (2 + 0.25) hours = (2 + 14 ) × 60 = 120 + 15 = 135 minutes According to the condition 2x + 25 = 135 1 2x + 25 − 25 = 135 − 25 2x = 110 x= 110 2 = 55 minutes Time spent on math=55+25=80 minutes= 1 hour and 20 minutes Q 16.Jesse earns $6 an hour babysitting for his younger brother. His mom gave him $71 last week. This included his babysitting money and his $20 allowance. How many hours did Jesse babysit? Solution Let times in hours Jesse babysit=x Babysitting money =6x Also babysitting money he got=71-20=51 According to the condition 6x = 51 x= 51 6 = 8.5 hours= 8 hours and 30 minutes Number of hours Jesse babysit=8 hours and 30 minutes 2