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System of Linear Equations - Word Problems Worksheet for 9th ... - Free Printable

System of Linear Equations - Word Problems Worksheet for 9th ...

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1. The cost for 6 eggs is $3.00, so the cost per egg is $0.50. For 24 eggs, the cost is 24 × $0.50 = $12.00.

2. The total library budget is $1,000. The amounts spent are: $240 (books), $175 (magazines), $280 (newspapers), $125 (audio books), and $90 (DVDs). Summing these gives $240 + $175 + $280 + $125 + $90 = $910. The remaining amount is $1,000 - $910 = $90.

3. There are 30 fish in total. If 10 are red, then 20 are not red. Half of the non-red fish are blue, so 20 ÷ 2 = 10 are blue. The rest are green: 20 - 10 = 10 green fish.

4. Let x be the number of children. Each child gets 2 cookies, so total cookies used are 2x. There are 10 cookies left, and the jar originally had 50 cookies. So, 2x + 10 = 50. Solving: 2x = 40, so x = 20 children.

5. Let x be the number of dimes. Then there are 2x nickels. The value of nickels is 5 × 2x = 10x cents. The value of dimes is 10 × x = 10x cents. Total value is 10x + 10x = 20x cents. Given total is 75 cents, so 20x = 75. Solving: x = 75/20 = 3.75. Since x must be an integer, this problem has no solution with whole coins under the given constraints.

6. The collection consists of 24 CDs, 28 DVDs, and 12 video games. Total items = 24 + 28 + 12 = 64. The fraction that are CDs is 24/64, which simplifies to 3/8.

7. From 1990 to 2000, the population increased from 294,000 to 310,000. The increase is 310,000 - 294,000 = 16,000. The percentage increase is (16,000 / 294,000) × 100 ≈ 5.44%.
Parent Tip: Review the logic above to help your child master the concept of equations word problems worksheet.
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