Anita B.

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Pre-Algebra

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Question:

If 2n + 1 = 5, find n.

Anita B.

Answer:

Step 1 Collect like terms. Subtract 1 from both sides. 2n + 1 - 1 = 5 - 1 2n = 4 Step 2 Divide both sides by 2 to get n. 2n/2 = 4/2 n =2. Final answer: n = 2

Basic Math

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Question:

Dylan and Cody invest $144, 000 and $36,000 respectively in a business. Out of the profit, Dylan gets $16.000 and Cody $10,000. The rest is divided in proportion to their investment. How much does Dylan receive if the total profit is $45,000?

Anita B.

Answer:

Step 1: Calculate original investment ratio. Dylan : Cody. $144,000/$36,000 = 4:1 Step 2: If profit is $45,000 and Dylan takes $16,000 $45,000 - $16,000 = $29,000. Rem. $29,000 If Cody takes $10,000, $29,000 - $10,000 = $19,000. Rem. $19,000 to be shared in 4:1 ratio. Step 3: Total ratio = 5 $19,000/5 = $3,800 Dylans share = $3,800 x 4 = $15,200 Cody's share = $3,800 x 1 = $3,800 Step 4: Dylan originally takes $16,000 Add that to his share of the profit ($15,200), $15,200 + $16,000 = $31,200 Final answer = $31,200

Algebra

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Question:

Find the solution of the system of equations: y = 1/4x + 3 2x = 9y - 2

Anita B.

Answer:

y = 1/4x + 3 --------(1) 2x = 9y - 2 --------(2) Step 1: Substitute y = 1/4x + 3 for y in eqn 2. 2x = 9{1/4x + 3} - 2 Order of operations 2x = 9/4x + 27 -2 2x = 9/4x + 25 Collect like terms 2x - 9/4x = 25 Subtract fractions using LCM method (8x - 9x)/4 = 25 Multiply both sides by 4 8x - 9x = 25 . 4 -x = 100 x = -100 Step 2: Substitute -100 for x in eqn 1. y = 1/4 (-100) + 3 Simplify y = -25 + 3 y = -22 Answer: x= -100, y= -22.

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