Math Word Problems and Arithmetic

Total original price = $30 + $15 = $45. The savings is 20% of the total. 0.20 * $45 = $9.00.

To find 80% of 30 questions, multiply 30 by 0.80, which equals 24. Alternatively, 10% of 30 is 3, so 80% is 8 x 3 = 24. Chaz answered 24 questions correctly out of 30.

The ratio of square tiles to triangles is 2:8, which simplifies to 1:4. If she used 48 square tiles, she used 48 * 4 = 192 triangles. Since 192 is not an option, 'none of them' is correct.

The cost per disk is $8.00 / 6. To find how many you can buy for $40, use the ratio: (6 disks / $8) * $40 = 6 * 5 = 30 disks.

The phrase 'AMERICAN PIES' has 12 letters. The vowels E and I appear: E (2 times) and I (2 times). Total occurrences of E or I = 4. Probability = 4/12 = 1/3.

First find the discount on each item: 20% of $30 = $6, and 20% of $15 = $3. The total saved is $6 + $3 = $9. Option A is correct. Option B ($15) is the total cost of shin guards, not savings. Option C ($18) is 20% of the total before discount ($45). Option D ($36) is the amount spent after discount, not saved.

To find 80% of 30, multiply 30 by 0.80. 30 * 0.8 = 24. Therefore, Chaz answered 24 questions correctly.

Arun's current age is 26-6=20 years. If Arun:Deepak = 4:3, then Deepak = (3/4)×20 = 15 years. The ratio is maintained, and 15 is the only option that satisfies this.

Let ages be 4x, 7x, 9x. Eight years ago, sum was (4x-8)+(7x-8)+(9x-8) = 56. 20x - 24 = 56 => 20x = 80 => x = 4. Present ages: 4(4)=16, 7(4)=28, 9(4)=36.

Let numbers be 3x and 4x. HCF is x=4, so numbers are 12 and 16. LCM = (12×16)/HCF(12,16) = 192/4 = 48. Alternatively, LCM = 3×4×4 = 48 since HCF=4.

Total perimeter = 5300 / 26.50 = 200m. Let breadth be x, length be x+20. 2(x + x + 20) = 200 => 4x + 40 = 200 => 4x = 160 => x = 40. Length = 40 + 20 = 60m. Since 60 is not listed, 'None of these' is correct.

In 856973, the digit 6 is in the thousands place, so its place value is 6000. Its face value is simply 6. The difference is 6000 - 6 = 5994.

To find the unit digit, multiply the unit digits of each number: 4 * 8 * 7 * 3. 4 * 8 = 32 (unit 2); 2 * 7 = 14 (unit 4); 4 * 3 = 12 (unit 2). The final unit digit is 2.

In the sequence 6, 9, 15, 21, 24, 28, 30, all numbers except 28 are multiples of 3. 28 is the only number not divisible by 3, making it the odd one out.

Let time on foot be t. 4t + 9(9-t) = 61. 4t + 81 - 9t = 61. -5t = -20, so t = 4 hours. Distance on foot = 4 km/hr * 4 hr = 16 km.