ZIMSEC & Cambridge Math Hub⤵️
January 24, 2025 at 05:59 PM
*Solution*
Let x = mass of rabbit
Let y= mass of cat
Let z= mass of dog
x + y = 10 ( i )
x + z = 20 (ii)
y + z = 24 (iii)
From ( i )
x = 10 - y
Substituting x in( ii )
( 10 - y) + z = 20
10 - y + z = 20
-y + z = 20 - 10
-y + z = 10 ( iv )
Adding ( iii) and ( iv )
y + z = 24
-y + z = 10
2z = 34
z = 17
Substituting x in ( ii)
x + 17 = 20
x = 20 - 17
x = 3
Substituting x in ( i )
x + y = 10
3 + y = 10
y = 10 - 3
y = 7
Therefore
x + y + z = 17 + 3 + 7
= 27
Correct Answer (B) 27 kg ❤️
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