Apples and pears

Apples cost 50 cents piece, pears 60 cents piece, bananas cheaper than pears. Grandma bought 5 pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears?

Correct answer:

j1 =  0
h1 =  4
j2 =  1
h2 =  3
j3 =  2
h3 =  2

Step-by-step explanation:

50j+60h+b⋅ 1=275 j+h+1=5 b<60 j>=0 b1=35,h1=4,j1=0 b2=45,h2=3,j2=1 b3=55,h3=2,j3=2  j1=0
h1=5−1−j1=5−1−0=4
j2=1
h2=5−1−j2=5−1−1=3
j3=2
h3=5−1−j3=5−1−2=2

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