Vegan shop

A shop received 23.2 kg of goods consisting of fruit, vegetables, and nuts. The fruit was 4.7 kg more than the vegetables, and the nuts were 1.5 kg less than the fruit. Determine the weight of each.

Final Answer:

a =  9.8
b =  5.1
c =  8.3

Step-by-step explanation:


a+b+c=23.2
a = 4.7+b
c = a-1.5

a+b+c = 23.2
a-b = 4.7
a-c = 1.5

Row 2 - Row 1 → Row 2
a+b+c = 23.2
-2b-c = -18.5
a-c = 1.5

Row 3 - Row 1 → Row 3
a+b+c = 23.2
-2b-c = -18.5
-b-2c = -21.7

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 23.2
-2b-c = -18.5
-1.5c = -12.45


c = -12.45/-1.5 = 8.3
b = -18.5+c/-2 = -18.5+8.3/-2 = 5.1
a = 23.2-b-c = 23.2-5.1-8.3 = 9.8

a = 49/5 = 9.8
b = 51/10 = 5.1
c = 83/10 = 8.3

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