A grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 8 apples. Each apple above the first level rests in a pocket formed by four apples below. The stack is completed by a single row of apples. How many apples are in the stack?

  • matematika

    Subject:

    Math
  • Author:

    kyle
  • Created:

    1 year ago

Answers 2

is 168 hope this helped you :D sorry if late reply

Step-by-step explanation:

Given A grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 8 apples. Each apple above the first level rests in a pocket formed by four apples below. The stack is completed by a single row of apples. How many apples are in the stack?

  • So the apples are placed in a pyramid like shape. It has a rectangular base. In this the apples are 7 by 8. So the first level is on a pocket formed by 4 apples below. Now from last to first that is from bottom to top each row will be one less apple in both sides.
  • So we get this as
  • 6 x 7
  • 5 x 6
  • 4 x 5
  • 3 x 4
  • 2 x 3
  • 1 x 2
  • Now we have in the single row of apples, the stack is finished.
  • 7 x 8 + 6 x 7 + 5 x 6 + 4 x 5 + 3 x 4 + 2 x 3 + 1 x 2
  •  56 + 42 + 30 + 20 + 12 + 6 + 2
  •                = 168
  • So there are 168 apples in the stack

Reference link will be

https://brainly.in/question/11589840

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