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anyanavicka [17]
3 years ago
10

jocelyn bought 2 sweaters for the same price.she paid $23.56, including sales tax of $1.36 and a $5.00 discount coupon.what was

the price of 1 sweater before the tax and coupon?
Mathematics
1 answer:
k0ka [10]3 years ago
4 0
<span>Jocelyn bought 2 sweaters for the same price.
She paid $23.56, including sales tax of $1.36 and a $5.00 discount coupon.
Problem: Find the price of 1 sweater before the tax and coupon
=> 2 sweaters = 23.56 dollars included tax and discount
=> remove the tax and discount first
=> 23.56 + 5.00 = 28.56 dollars since this is a discount, we need to add this to the amount
=> 28.56 – 1.36 =  27.2 dollars is the price of 2 sweaters
=> 1 sweater costs 13.6 dollars </span>



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Ratio Question;
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*Given

Money of Phoebe            - 3 times as much as Andy

Money of Andy                - 2 times as much as Polly

Total money of Phoebe,  - £270

   Andy and Polly

*Solution

Let

B - Phoebe's money

A - Andy's money

L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

                 B + A + L  = £270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

 

                 B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                 A = 2L                           (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

                B = 3A

                B = 3 x (2L)

                B = 6L                            (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

                 6L + 2L + L = £270

                               9L = £270

                                 L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

                 A = 2L                          

                 A = 2(£30)

                 A = £60

Andy has £60

                 B = 6L                        

                 B = 6(£30)

                 B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

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a line with a slope of 3 passes through the point (2,5) write an equation for this line in point-slope form.​
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Step-by-step explanation:

1.) y - 5= 3(x-2)

2.) y - 5 = 3x-6

3.) y=3x-1

4 0
3 years ago
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