Step: 1

The sales tax is 6% of 135.

Step: 2

6% = 6 100 = 0.06

[Divide 6 by 100 to convert it into decimal.]

Step: 3

Sales tax = 0.06 x 135 = $8.1

[Multiply the decimal by the cost of Compact Stereo System.]

Step: 4

Final cost = cost + sales tax = 135 + 8.1 = $143.1

[Add.]

Step: 5

The sales tax on the Compact Stereo System is $8.1 and the final cost is $143.1.

Correct Answer is : $8.1, $143.1

Step: 1

40% of 125

[Expression to be evaluated.]

Step: 2

= 8 20 of 125

[Rewrite 40% with an equal fraction 40 100 or 8 20 .]

Step: 3

= 8 20 × 120

[Replace 125 with 120, which is compatible with the fraction.]

Step: 4

= 8 1 × 6

[Cancel 120 with 20 .]

Step: 5

= 48

[Simplify.]

Step: 6

40% of 125 is 48.

Correct Answer is : 48

Step: 1

48% of 70

[Original expression.]

Step: 2

A fraction with denominator 2 is compatible with 70, as 70 is a multiple of 2.

Step: 3

[Rewrite 48% as 50% or 50 100 or 1 2 .]

Step: 4

= 35

[Cancel 70 with 2 and simplify.]

Correct Answer is : 35

Step: 1

15.4% of 18

[Original expression.]

Step: 2

[Rewrite 15.4% as 15% or 15 100 or 3 20 .]

Step: 3

[Replace 18 with 20 as it is compatible with the fraction.]

Step: 4

= 3 2 x 2

[Cancel 20 and 20 with 10.]

Step: 5

= 1.5 x 2

[Divide 3 by 2.]

Step: 6

= 3

[Multiply.]

Correct Answer is : 3

Step: 1

32.4% of 900

[Original expression.]

Step: 2

900 is a multiple of 10. So, a fraction with denominator 10 is compatible with 900.

Step: 3

[Rewrite 32.4 as 30% or 30 100 or 3 10 .]

Step: 4

= 270

[Cancel 900 with 10 and simplify.]

Correct Answer is : 270

Step: 1

20% of 38.93

[Expression to be evaluated.]

Step: 2

= 20 100 of 38.93

[Rewrite 20% with an equal fraction 2 0 1 0 0 .]

Step: 3

= 20 100 of 40

[Replace 38.93 with 40, which is compatible with the fraction.]

Step: 4

= 1 5 × 40

Step: 5

= 8

[Simplify.]

Step: 6

So, a good estimate of a 20% tip on the bill $38.93 is $8.

Correct Answer is : $8.00

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