Razee is filling bags with party favors for his birthday party the table to the right shows the number of bags he still needs to

Question

2 years ago

5

fill after 4, 5, 6 and seven minutes if he is working at a constant rate what was the initial number of party favor bags razee had to fill?

1 answer:

IceJOKER [234] · Answer 1 · 2023-06-18T12:56:08+03:00

The initial number of party favor bags Razee had to fill were 48 bags.

Here, we will use arithmetic progression to solve this problem.

We are given that:

At 4 minutes, 36 bags were remaining.

At 5 minutes, 32 bags were remaining.

At 6 minutes, 28 bags were remaining.

At 7 minutes, 24 bags were remaining.

This can also be written as:

a₄ = a + 3d = 36

a₅ = a + 4d = 32

a₆ = a + 5d = 28

a₇ = a + 6d =24

where a is the initial number of party favor bags.

a₅ - a₄ = a + 4d - a - 3d

a + 4d - a - 3d = 32 - 36

d = -4

a + 3d = 36

a + 3(-4) = 36

a - 12 = 36

a = 36 + 12

a = 48

Therefore, the initial number of party favor bags Razee had to fill were 48 bags.

Learn more about Arithmetic Progression here:

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