Keller collected $62.48 and Izzy collected $47.83 and J collected $19.98
Step-by-step explanation:
Step 1; Assume that J collected $x, Keller collected $y and Izzy collected $z. All three combined collected $125.95, so
x + y + z = 125.95, take this as equation 1.
From the given data, the following equations can be formed.
y = 42.50 + x or x = y - 42.50 take this as equation 2 and
y = 15 + z, take this as equation 3.
Step 2; Now we must determine x and y in terms of z, so that equation 1 can be solved (the equations can be in terms of any term x, y or z.)
Rearranging equation 2 and 3,
we get 15 + z so x = y - 42.50, y = x = 15 + z - 42.50, take this as equation 4,
If we substitute equations 4, 2 in 1, we get
(15 + z - 42.50) + (15 + z) + z = 125.95,
3z - 12.5 = 129.95,
3z = 142.45, so z = 47.833.
Substitute z = 47.833 in equation 3.
y = 15 + 47.8333 = 62.4833.
Substitute y = 62.4833 in equation 2,
x = 62.4833 - 42.50 = 19.9833.
Rounding of the values of x,y, and z to nearest hundredth we get
x = $19.98, y = $62.48 and z = $47.48.
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