1. Explain the following problem: The game of Nudge is played with a set of 15 pieces called bumps. Some bumps weigh 15g some weigh 30g and some weigh 40g. A full set of bumps has a total weight of 420g and contains a different number of each type. How many 30g bumps are there in a full set of 15 bumps? Explain why. 2. Explain the following problem:

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1. Explain the following problem:  The game of Nudge is played with a set of 15 pieces called bumps. Some bumps weigh 15g some weigh 30g and some weigh 40g. A full set of bumps has a total weight of 420g and contains a different number of each type.  How many 30g bumps are there in a full set of 15 bumps?  Explain why.  2. Explain the following problem:

Ayesha Gomez · Accepted Answer

Step 1  Given that there are 15 bumps and some weigh 15g, some weigh 30g and some weigh 40g. All of them combined weigh 420g with EACH TYPE HAVING A DIFFERENT NUMBER OF PIECES in the total number of 15 pieces.   Here we can see that 30 and 420 are multiples of 15 whereas 40 is not. So to include all 3 types of pieces in full set of 15 bumps, the weight of all 40g bumps combined should be a multiple of 15. so writing multiples of 40 gives   40, 80, 120, 160, 200, 240, 280, 320, 360, 400.   Multiples of 15 are 15,30, 45, 60, 75, 90, 105, 120, 135, 150.....225, 240.....345, 360, 375, 390, 405.  Here we can observe that common multiples of 40 and 15 are 120, 240, 360.  Step 2  So lets

1. Explain the following problem: The game of Nudge is played with

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