Total goals is 253, how many did each top player score. Erin scored the least. Macy 4 times as many as Erin. Carly scored 2 less than Macy. Shelly scored one half as many goals as Carly. Molly scored 1more than Macy.

Erin-------- x

Macy ----- 4x
Molly ----- 4x+1
Carly ------ 4x - 2
Shelly ------ 2x-1

x + 4x + 4x+1 + 4x-2 + 2x-1 = 253
15x = 255
x = 17

Erin-------- 17
Macy ----- 68
Molly ----- 69
Carly ------ 66
Shelly ------ 33

NOICE!

To solve this problem, we can break down the information given and use algebraic expressions.

Let's assign variables to represent the number of goals scored by each player:

Erin: E
Macy: M
Carly: C
Shelly: S
Molly: O

Based on the information given, we can set up the following equations:

1) Erin scored the least: E is the smallest.
2) Macy scored 4 times as many as Erin: M = 4E.
3) Carly scored 2 less than Macy: C = M - 2.
4) Shelly scored one half as many goals as Carly: S = 0.5C.
5) Molly scored 1 more than Macy: O = M + 1.

We are also given that the total number of goals scored is 253:

E + M + C + S + O = 253.

Now, let's substitute the expressions for M, C, S, and O from equations 2-5 into the total goals equation:

E + (4E) + (4E - 2) + (0.5(4E - 2)) + (4E + 1) = 253.

Simplifying the equation:

E + 4E + 4E - 2 + 2E - 1 + 4E + 1 = 253.

Combining like terms:

15E + 253 - 2 - 1 + 1 = 253.

Simplifying further:

15E + 251 = 253.

Subtracting 251 from both sides:

15E = 2.

Solving for E by dividing both sides by 15:

E = 2/15 or 0.1333 (rounded to four decimal places).

Now we can substitute this value of E back into the other equations to find the values for M, C, S, and O.

M = 4E = 4 * 0.1333 = 0.5333 (rounded to four decimal places).
C = M - 2 = 0.5333 - 2 = -1.4667 (rounded to four decimal places).
S = 0.5C = 0.5 * -1.4667 = -0.7333 (rounded to four decimal places).
O = M + 1 = 0.5333 + 1 = 1.5333 (rounded to four decimal places).

Therefore, the number of goals scored by each player is:
Erin: 0.1333 (rounded to four decimal places)
Macy: 0.5333 (rounded to four decimal places)
Carly: -1.4667 (rounded to four decimal places)
Shelly: -0.7333 (rounded to four decimal places)
Molly: 1.5333 (rounded to four decimal places).

Note: The negative values for Carly and Shelly indicate that they scored fewer goals than Erin, but in a real-world scenario, it is not possible for a player to have negative goals.

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