**A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?**

$4.00

$6.00

$2.50

$3.00

*Correct Answer : D*

When solving percent problems, the following words and their meaning becomes handy.

- Is means equals
- Of means multiply
- What means unknown (variable)

If we let x represent the amount of tip the couple want to leave behind, then

So, the couple will leave a tip of $2.84, which is about $3.00

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Related Questions

### Correct Answer is C

#### Explanation

We know that 1 L =1000 mL, which we use to convert between the two units. The conversion fractions of interconverting are:

And

Since we want to end up with millimeters, the second conversion is used in converting L to mL as:

Thus, 3.2 L is equivalent to 3200 mL.

### Correct Answer is B

#### Explanation

: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

The fraction above reduces into

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

Â

In ratio form, girls: boys=13:11

Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.

### Correct Answer is D

#### Explanation

The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â **t*

There, 9 yards is equal to 27 ft.

### Correct Answer is C

#### Explanation

**Explanation**: We know that 1 L=1000 mL and to change between L and mL we use the following two options

### Correct Answer is D

#### Explanation

We need to find the radius in order to find the area of the pizza.

Radius of pizza

The area of the pizza

*Â Â Â Â Â *

But r=4.5

*Â *

Thus, the area of the pizza is 20.25* *Â in2.

NOTE:Â Â is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.

### Correct Answer is B

#### Explanation

Â we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as

Discount=mark off rate*original price

Discount=15%*$78

Convert 15% into a fraction, which become 15/100=0.15. Then

Discount=0.15*$78=$11.70

The selling price of the sweater will be the original price less the discount or mark off value. Then,

Thus, the approximate selling price of the sweater is $66.

### Correct Answer is D

#### Explanation

Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows

35+192*=*227

258+350*=*608

947+1032*=*1979

From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.

694+7618=8312

We can approximate 8312 based on the provided choices is 8310.

### Correct Answer is A

#### Explanation

To solve the equation this equation, we use a calculator and find the product as:

3.45 * 0.53= 1.8285

### Correct Answer is D

#### Explanation

: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,

One friend=1/4 of 1=1/4*1=1/4

Remaining amount=1-1/4=4/4-1/4=3/4

Thus, Â¾ of burger is left for two friends to share among themselves. Then, each friend will get

So, the other two friends will each get 3/8 of the burger.

### Correct Answer is C

#### Explanation

We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.

Amount Jacob spends=87% of $100=87/100*100=$87

Amount left to invest=$(100-87)=$13

Jacob is left with $13, which she invests and earns a profit of 75%.

Profit earned on invested amount=75% of $13=75/100*13=$9.75

So, Jacob will have $13+$9.75=$22.75

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