9514 1404 393
Answer:
5⬥ = ▼
Step-by-step explanation:
Let's use T, D, C, S to represent the numbers of triangles, diamonds, circles, and squares on each balance. We are given ...
T +D = C . . . . [eq1]
T = D +S . . . . [eq2]
2C = 3S . . . . [eq3]
Using [eq2] to substitute for T in [eq1], we have ...
(D +S) + D = C
Substituting for C in [eq3] gives ...
2(2D +S) = 3S
4D +2S = 3S . . . . . eliminate parentheses
4D = S . . . . . . . . . . subtract 2S
Substituting this into [eq2], we have ...
T = D +4D
T = 5D . . . . . . . . . collect terms. This answers the question.
5⬥ are needed to balance the scale
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Additional comment
We cannot tell the intent of "Each letter represents a digit. The sum of every three consecutive digits is 19." No letters are shown.
