Question 14 of 19intermediate🔧 ApplyNumerical3 marks

Given 28p−36=9828p - 36 = 98, find the value of 14p−1914p - 19 and 28p−3828p - 38.

Correct Answer

Given: 28p−36=9828p - 36 = 98

Step 1: Solve for 28p28p

28p=98+36=13428p = 98 + 36 = 134

Step 2: Find 14p14p 14p=6714p = 67 (half of 28p28p)

Step 3: Calculate 14p−1914p - 19

67−19=4867 - 19 = 48

Step 4: Calculate 28p−3828p - 38

134−38=96134 - 38 = 96

Answer: 14p−19=14p - 19 = 48 and 28p−38=28p - 38 = 96

Exercise: Figure it Out (Section 3) | Q: 10 | (Page Page 24)
For More Understanding

Explanation

First solve 28p−36=9828p - 36 = 98 to get 28p=13428p = 134. Then 14p=6714p = 67. For 14p−1914p - 19: 67−19=4867 - 19 = 48. For 28p−3828p - 38: 134−38=96134 - 38 = 96.

Solution Steps

  1. Step 1: Solve 28p−36=9828p - 36 = 98: 28p=13428p = 134

  2. Step 2: Find 14p14p: 14p=6714p = 67 (half of 28p28p)

  3. Step 3: Calculate 14p−1914p - 19: 67−19=4867 - 19 = 48

  4. Step 4: Calculate 28p−3828p - 38: 134−38=96134 - 38 = 96

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