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tamaranim1 [39]
3 years ago
6

180+8x=160+6x help me find x

Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

180 + 8x = 160 + 6x

Step 2: Solve for <em>x</em>

  1. Subtract 6x on both sides: 180 + 2x = 160
  2. Subtract 180 on both sides: 2x = -20
  3. Divide both sides by 2: x = -10

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

180 + 8(-10) = 160 + 6(-10)

180 - 80 = 160 - 60

100 = 100

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Part of the proceeds from a garage sale was $455 worth of $5 bills and $20 bills. If there were 6 more $5 bills than 20$ bills f
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Answer:

\large \boxed{\text{17 \$20 bills and 23 \$5 bills}}

Step-by-step explanation:

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     Then x + 6 = the number of $5 bills  and

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\begin{array}{rcl}20x + 5(x + 6) & = & 455\\20x + 5x + 30 & = & 455\\25x + 30 & = & 455\\25x & = & 425\\x & = &\dfrac{425}{25}\\\\x & = &\mathbf{17}\\\end{array}

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\text{There were }\large \boxed{\textbf{17 \$20 bills and 23 \$5 bills}}

Check:

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OK.

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