Q21 Words Problem Packet No 1

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

2023
Views:

189

Pages:

3
Author:

Shahbaz A.

Q21 words Problem Packet No 1 shahbaz ahmed July 2024 Q 21.At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500, how many tickets of each kind were sold? Solution 50 cents=$ 50 100 = $ 1 2 Let number of tickets for students=x Receipts for x students= $ 12 x Let number of tickets for adults=y Receipts for y adults= $ y Total of receipts for x students and y adults= $ ( 21 x + y) Total of receipts for x students and y adults= $ 500 Total of tickets for students and adults=x+y 1 Total number of tickets as given =900 Total receipts for 900 tickets= $ 500 According to the conditions x + y = 900 (1) 1 x + y = 500 2 1 2 × ( x + y) = 500 × 2 2 x + 2y = 1000 Subtracting equation (1) from equation (2) x + 2y − (x + y) = 1000 − 900 x + 2y − x − y = 100 y = 100 Putting in equation (1) 2 (2) x + 100 = 900 x = 800 Number of tickets for students= 800 Number of tickets for adults=100 3