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Question Fundraiser raised xinweek1,x in week 1, 283 in week 2, 350inweek3,and350 in week 3, and 140 in week 4. Find xx given the total of $955. Show steps to solve.

Studdy Solution

STEP 1

Assumptions
1. The amount raised in week 1 is xdollars.<br/>2.Theamountraisedinweek2isx dollars.<br />2. The amount raised in week 2 is 283.00.
3. The amount raised in week 3 is 350.00.<br/>4.Theamountraisedinweek4is350.00.<br />4. The amount raised in week 4 is 140.00.
5. The total amount raised over the four weeks is $955.00.
6. The amounts raised each week are additive to get the total amount.

STEP 2

To find the amount raised in week 1, we need to set up an equation that represents the total amount raised over the four weeks.
Total amount=Week 1+Week 2+Week 3+Week 4Total\, amount = Week\, 1 + Week\, 2 + Week\, 3 + Week\, 4

STEP 3

Now, plug in the known values for weeks 2, 3, and 4, and the total amount to set up the equation.
$955.00=x+$283.00+$350.00+$140.00\$955.00 = x + \$283.00 + \$350.00 + \$140.00

STEP 4

Combine the known amounts from weeks 2, 3, and 4 to simplify the equation.
$955.00=x+($283.00+$350.00+$140.00)\$955.00 = x + (\$283.00 + \$350.00 + \$140.00)

STEP 5

Calculate the sum of the amounts from weeks 2, 3, and 4.
$955.00=x+$773.00\$955.00 = x + \$773.00

STEP 6

To solve for xx, subtract the combined amount of weeks 2, 3, and 4 from the total amount.
x=$955.00−$773.00x = \$955.00 - \$773.00

STEP 7

Calculate the value of xx.
x=$955.00−$773.00=$182.00x = \$955.00 - \$773.00 = \$182.00
The amount raised in week 1 was x=$182.00x = \$182.00.

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