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Anuta_ua [19.1K]
1 year ago
8

Paolo paid $ 28 $ 28 for a hat that was originally priced at $ 35 $ 35 . By what percent was the hat discounted?

Mathematics
1 answer:
devlian [24]1 year ago
5 0

The original price of the hat is $35. Paolo paid $28 for the hat.

So discount for the hat is $(35-28) = $7

$7 is discounted from $35. We have to find the percentage of the discount.

To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.

So the discount percentage =

((7/35)×100) %

We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.

((1/5) ×100) %

(100/5)% = 20%

So the hat was discounted by 20%.

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$ 25 was the cost of each ​ticket before applying the service fee.

<u>Step-by-step explanation:</u>

Given that the cost of two tickets including the service fee = $59

So, the cost of one ticket including the service fee =  \frac{59}{2} = \$ 29.5

Service fee on each ticket = 18%

Let the cost of 1 ticket without including the service fee = x

So, according to the data given in the question,

                     x+18 \% \text { of } x=29.5

                     x+\frac{18}{100} \times x=29.5

                    x+0.18 x=29.5

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Hence, cost of each ticket before applying the service fee = $25

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2 years ago
A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of
Brilliant_brown [7]

Answer:

35 pounds of $8.00 tea and 15 pounds of $6.00 tea

Step-by-step explanation:

Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,

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2x + 300 = 370

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2x = 70

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This means there is 35 pounds of the $8 kind.

We can subtract that from 50 to find,

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