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likoan [24]
3 years ago
8

Lana ate at her favorite restaurant last weekend. She decided to leave a 20% tip for her server. Before tip, her bill came to $3

4.
How much did the meal cost in total, including tip?
Mathematics
2 answers:
o-na [289]3 years ago
8 0
If u need to get 20% of $34 u can find 10% which is 3.40 which means to get 20% you need to double it to 6.80 and that’s how much the tip was therefore if she had her total bill of $34+$6.80 tip that means the total is $40.80
Yanka [14]3 years ago
5 0
Another way to do this would be doing 34*20/100 which will give you 6.8.
So now we answer the question about the total cost by doing $34+$6.8 =$40.8
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The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

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