Directions:Read,analyze and solve each problem carefully. 1)if twice a number is...

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October 2022 1 1 Report

Directions:Read,analyze and solve each problem carefully. 1)if twice a number is increased by 12,the result is 24.What is the number? 2) If thrice a number is decreased by 12,the result is 9. What is the number? 3)Nine less than twice a number is 15.What is the number? 4)If you multiply a number by 7 and then subtract 13 from the product,the result ia 43.What is the number? 5) Two weeks ago,my son saved 80.00 from his allowance.If this amount is 40.00 more than twice the amount he saved last week,how much did he save last week?
(please po pa solve with solution please po please)

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chirilu

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Directions: Read,analyze and solve each problem carefully.

1. If twice a number is increased by 12, the result is 24. What is the number?

Mathematical Equation: $\large \tt 2x + 12 = 24$

Solution:

$\large \tt2x + 12 = 24 \\ \\ \large \tt2x = 24 - 12 \\ \\ \large \tt 2x = 12 \\ \\ \large \tt \frac{2x}{2} = \frac{12}{2} \\ \\ \large \red{ \boxed{ \tt{x = 6}}}$

Conclusion: The number is 6

2. If thrice a number is decreased by 12, the result is 9. What is the number?

Mathematical Equation: $\large \tt 3x–12=9$

Solution:

$\large \tt3x - 12 = 9 \\ \\ \large \tt3x = 9 + 12 \\ \\ \large \tt 3x = 21 \\ \\ \large \tt \frac{3x}{3} = \frac{21}{3} \\ \\ \large \red{ \boxed{ \tt{x = 7}}}$

Conclusion: The number is 7

3. Nine less than twice a number is 15.What is the number?

Mathematical Equation: $\large \tt 2x–9=15$

$\large \tt2x - 9 = 15 \\ \\ \large \tt 2x = 15 + 9 \\ \\ \large \tt 2x = 24 \\ \\ \large \tt \frac{ 2x}{ 2} = \frac{ 24}{ 2} \\ \\ \large \red{ \boxed{ \tt{x = 12}}}$

Conclusion: The number is 12

4. If you multiply a number by 7 and then subtract 13 from the product, the result is 43.What is the number?

Mathematical Equation: $\large \tt 7x–13=43$

Solution:

$\large \tt7x - 13 = 43 \\ \\ \large \tt 7x = 43 + 13 \\ \\ \large \tt 7x = 56 \\ \\ \large \tt \frac{ 7x}{ 7} = \frac{ 56}{ 7} \\ \\ \large \red{ \boxed{ \tt{x = 8}}}$

Conclusion: The number is 8

5. Two weeks ago, my son saved 80.00 from his allowance. If this amount is 40.00 more than twice the amount he saved last week,how much did he save last week?

Mathematical Equation: $\large \tt 2x+40=80$

Solution:

$\large \tt2x + 40 = 80 \\ \\ \large \tt2x = 80- 40 \\ \\ \large \tt 2x = 40 \\ \\ \large \tt \frac{2x}{2} = \frac{40}{2} \\ \\ \large \red{ \boxed{ \tt{x = 20}}}$