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=4×$6=$24
Working: 
35%=0.35, of is keyed in as 
x
0.35

x
112
39.2
Answer: 
39.2L
1 Calculate with a calculator.
a) 
12% of 
$45
b) 
85% of 
16L
c) 
3% of 
950mL
d) 
68% of 5 tonne
Example: Solve 
82% of ............. 
L=36 L
Working : If 
82% is 
36 L, then 
1% is 
(36)/(82)L and 
100%=100 ×36÷82⊟43.9
Answer: 
quad82% of ...43.9... 
L=36 L
2 Solve.
a) 
6% of 
$dots dots dots dots dots dots dots dots dots dots dots dots dots dots dots dots dots

=4×$6=$24 =4 \times \$ 6=\$ 24 \newlineWorking: 35%=0.35 35 \%=0.35 , of is keyed in as x x \newline00.3535\newlinex x \newline112112\newline3939.22\newlineAnswer: 39.2 L 39.2 \mathrm{~L} \newline11 Calculate with a calculator.\newlinea) 12% 12 \% of $45 \$ 45 \newlineb) 85% 85 \% of 16 L 16 \mathrm{~L} \newlinec) 3% 3 \% of 35%=0.35 35 \%=0.35 00\newlined) 35%=0.35 35 \%=0.35 11 of 55 tonne\newlineExample: Solve 35%=0.35 35 \%=0.35 22 of ............. 35%=0.35 35 \%=0.35 33\newlineWorking : If 35%=0.35 35 \%=0.35 22 is 35%=0.35 35 \%=0.35 55, then 35%=0.35 35 \%=0.35 66 is 35%=0.35 35 \%=0.35 77 and 35%=0.35 35 \%=0.35 88\newlineAnswer: 35%=0.35 35 \%=0.35 99 of ...4343.99... 35%=0.35 35 \%=0.35 33\newline22 Solve.\newlinea) x x 11 of x x 22

Full solution

Q. =4×$6=$24 =4 \times \$ 6=\$ 24 \newlineWorking: 35%=0.35 35 \%=0.35 , of is keyed in as x x \newline00.3535\newlinex x \newline112112\newline3939.22\newlineAnswer: 39.2 L 39.2 \mathrm{~L} \newline11 Calculate with a calculator.\newlinea) 12% 12 \% of $45 \$ 45 \newlineb) 85% 85 \% of 16 L 16 \mathrm{~L} \newlinec) 3% 3 \% of 35%=0.35 35 \%=0.35 00\newlined) 35%=0.35 35 \%=0.35 11 of 55 tonne\newlineExample: Solve 35%=0.35 35 \%=0.35 22 of ............. 35%=0.35 35 \%=0.35 33\newlineWorking : If 35%=0.35 35 \%=0.35 22 is 35%=0.35 35 \%=0.35 55, then 35%=0.35 35 \%=0.35 66 is 35%=0.35 35 \%=0.35 77 and 35%=0.35 35 \%=0.35 88\newlineAnswer: 35%=0.35 35 \%=0.35 99 of ...4343.99... 35%=0.35 35 \%=0.35 33\newline22 Solve.\newlinea) x x 11 of x x 22
  1. Define xx gallons: Let's call the amount of 9%9\% solution to be added "xx" gallons.
  2. Calculate acetone in 1414% solution: The amount of acetone in the 100100 gallons of 14%14\% solution is 100×0.14=14100 \times 0.14 = 14 gallons.
  3. Calculate acetone in xx gallons: The amount of acetone in the xx gallons of 9%9\% solution is x×0.09x \times 0.09.
  4. Find total solution amount: The total amount of solution after adding "xx" gallons will be 100+x100 + x gallons.
  5. Calculate total acetone in new solution: The total amount of acetone in the new solution should be 10%10\% of (100+x)(100 + x) gallons, which is $(\(100\) + x) \times \(0\).\(10\).
  6. Set up equation: Now we set up the equation: \(14 + (x \times 0.09) = (100 + x) \times 0.10\).
  7. Distribute \(0\).\(10\): Distribute the \(0.10\) on the right side of the equation: \(14 + (x \times 0.09) = 10 + (x \times 0.10)\).
  8. Subtract \(10\): Subtract \(10\) from both sides: \(14 - 10 + (x \times 0.09) = (x \times 0.10)\).
  9. Simplify left side: Simplify the left side: \(4 + (x \times 0.09) = (x \times 0.10)\).
  10. Subtract \(0.09x\): Subtract \((x \times 0.09)\) from both sides: \(4 = (x \times 0.10) - (x \times 0.09)\).
  11. Combine like terms: Combine like terms: \(4 = x \times (0.10 - 0.09)\).
  12. Simplify right side: Simplify the right side: \(4 = x \times 0.01\).
  13. Divide by \(0\).\(01\): Divide both sides by \(0.01\) to solve for \(x\): \(x = \frac{4}{0.01}\).
  14. Calculate x: Calculate \(x\): \(x = 400\).

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