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There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B
From the tape diagrams, we have the following ratio
Prism : Pyramid = 4 : 1
From the table, we have:
Tower A = 16 prisms
So, the ratio becomes
16 : Pyramid = 4 : 1
Multiply the ratio on the right-side by 4
16 : Pyramid = 16 : 4
By comparison, we have:
Pyramid = 4
This means that, 4 pyramid blocks are needed for tower A
So, the total number of blocks needed is:
Total = Pyramid + Prism
This gives
Total = 4 + 16
Evaluate the sum
Total = 20
Hence, there are 20 blocks needed for tower A
For table B, we have:
Tower A = 35 prisms
So, the ratio becomes
35 : Pyramid = 4 : 1
Express as fractions
Multiply through by 35
Pyramid = 8.75
This means that, 8.75 pyramid blocks are needed for tower B
So, the total number of blocks needed is:
Total = 8.75 + 35
Evaluate the sum
Total = 43.75
Hence, there are 43.75 blocks needed for tower B
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