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

2023
Views:

441

Pages:

3
Author:

Shahbaz A.

18,19 Algebra Word Problems Packet No 1 shahbaz ahmed July 2024 Q 18.One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn? Solution Let Jim earned= $x 3 times as much as Jim.=$3x Bill earned=$3x $5 more than Jim. =$(x+5) Tom earned=$(x+5) In all they earned=$ 60 According to the condition x + 3x + x + 5 = 60 5x + 5 = 60 1 5x + 5 − 5 = 60 − 5 5x = 55 x= 55 5 = 11 =⇒ Jim earned= $ 11 Bill earned=$3 × 11=$33 Tom earned=$(11+5)=$16 CHECKING Jim earned+ Bill earned+ Tom earned=$60 11 + 33 + 16 = 60 60 = 60 L.H.S=R.H.S Given condition is satisfied ........................................................ 2 Q19.The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party? Solution Let number of guests invited to the party=x Price per person =$ 96 Total bill for x persons=98 × x=$96 x One-fourth of the total bill= 96x 4 =$ 24 x=Advance payment Advance payment=$1200 According to the condition 24x = 1200 x= 1200 24 = 50 Number of Guests invited=50 3