Mathematics · May / June 2024 · Paper 42 · Question 8
0580
As printed in the paper
The question as text
A baker decorates x small cakes and y large cakes. In one day, he decorates: • not more than 16 small cakes • less than 10 large cakes • more small cakes than large cakes • a total of not more than 24 cakes. One of the inequalities that shows this information is x 16 G .
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
8(a)[3]
y < 10 x + y ⩽ 24 oe < y x oe [3]
B1 for each If 0 scored,
SC1 for y ⩽ 10 and y ⩽ x and x + y < 24
8(b)[6]
Correct lines and region indicated c c c R c [6]
B1 for each correct line and
B2 for R in correct region for all 4 correct lines
or B1 for R in any one of the regions marked c
or B1 for R that satisfies 3 of the correct inequalities
8(c)[2]
228 nfww [2]
M1 for 8x + 12y for any (x, y) in their R, x, y both integer or x = 15, y = 9
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