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What number should replace the question mark in the beach item equation?
Correct answer: 77
Explanation:
Let the bucket be B, the beach ball be A, the starfish be S, and the shell be H.
From the first equation:
B + B + B = 24
So B = 8.
From the second equation:
A + A + S = 25
From the third equation:
S + H + H = 17
From the fourth equation:
A + H + H = 19
Compare the third and fourth equations. Since both have H + H, the beach ball must be 2 more than the starfish.
So A = S + 2.
Using the second equation, we get:
(S + 2) + (S + 2) + S = 25
3S + 4 = 25, so S = 7.
Then A = 9.
Using the third equation:
7 + H + H = 17
2H = 10, so H = 5.
The final equation is:
shell + beach ball × bucket
Using order of operations, multiply first:
5 + 9 × 8 = 5 + 72 = 77
Therefore, the missing number is 77.
Finall answer to this puzzle: 77
