Mathematics · Oct / Nov 2025 · Paper 21 · Question 8
0580
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0580/21/O/N/25 © UCLES 2025 [Turn over 8 The cost of one orange is ÿ cents. The cost of one apple is w cents. The total cost of 3 oranges and 1 apple is 51 cents. The total cost of 6 oranges and 5 apples is 129 cents. Use simultaneous equations to find the value of ÿ and the value of w. You must show all your working. ÿ ¢ w ¢ [5]
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3t + w = 51 6t + 5w = 129 Correctly eliminating one variable from their equations [t =] 14 [w =] 9 [2]
B1 for each M1 e.g. 6t + 2w = 102 and 6t + 5w = 129 leading to 3w = 27 or w = 51 − 3t and 6t + 5(51 − 3t ) = 129
A2 A1 for [t =] 14
A1 for [w =] 9 If M1A0A0 scored,
M1 SC1 for two values satisfying one of their original equations or if M0 scored,
SC1 for 2 correct answers
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