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Katyanochek1 [597]
3 years ago
12

Scarlett works as a salesperson at an electronics store and sells phones and phone accessories. Scarlett earns a $14 commission

for every phone she sells and a $3 commission for every accessory she sells. On a given day, Scarlett made a total of $344 in commission from selling a total of 45 phones and accessories. Determine the number of phones sold and the number of accessories sold.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

19 phones and 26 accessories

Step-by-step explanation:

What we need here is to work with a two-equation system, where one equation corresponds to income and the other to the amounts sold.

First, lets think on the amounts. She sold a p amount of phones and an a amount of accessories, such that in total she sold 45 items. So:

a + p = 45 [equation 1]

Then, she made a total money of $344, for selling this 45 items. With prices of $3 for accessories and $14 for phones. The equation is:

3a + 14 p = 344 [equation 2]

If we take equation 1 en get the value of a, by subtracting p en both sides:

a + p - p = 45 - p

a = 45 - p [equation 1']

If we pick this last equation and replace in equation 2 we have:

3a + 14 p = 344

3 (45-p) + 14p = 344

135 - 3p + 14p = 344

135 + 11 p = 344

Subtracting 135 in both sides:

135 -135 + 11p = 344 - 135

11p = 209

Dividing by 11 in both sides:

11p/11 = 209/11

p = 19

So, Scarlett sold 19 phones. If we replace it in equation 1:

a + 19 = 45

Subtracting 19 in both sides:

a = 26

She also sold 26 accessories.

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Answer:

>

Step-by-step explanation:

17/5 is 8.5 but √70 is 8.3 something that for 17/2>√70

7 0
3 years ago
You sell an automobile part for $9.98, which includes a $.40 sales tax. The article cost you $8.75.
Irina-Kira [14]

Answer:

9.5%

Step-by-step explanation:

Buying price of the part= $ 8.75

Selling price of the part= $ 9.98

sale tax= $0.40

Selling price before sale tax= $9.98-$ 0.40 = $ 9.58

Make-up amount charged= $9.58- $8.75 = $ 0.83

As a percentage= (0.83/ 8.75) ×100

=9.5%

7 0
3 years ago
Besties pls help did I get these right?
lana66690 [7]

Answer:

Yep!

Step-by-step explanation:

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8 0
3 years ago
Find the value of x and y. Show all your work neat and<br> in order.
Mazyrski [523]

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

64 - 64 + 4y = 180° - 64

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8 0
2 years ago
Martha estimated the quotient of -71.81 and -8.02 using
steposvetlana [31]

Option 2

Martha estimated the quotient. Martha error was she should have rounded -8.02 to -8.

<u>SOLUTION: </u>

Given that, Martha estimated the quotient of -71.81 and -8.02 using rounding to the nearest whole number.

And she committed an mistake. We have to find the error made by Martha while calculating quotient.

She treated -71.81 to be 72 and -8.02 to be 9. As both the number are negative there will be no problem when we get quotient.

When treated as above she got quotient as 8.

But in general, the quotient is not 8.

If we see options, we derive an conclusion.

<u>Option (1) </u>

she should have rounded 71.81 to 70, no this is not correct as 72 is nearest whole number.

<u>Option (2)</u>

she should have rounded 8.02 to 8, yes this is correct conclusion.

<u>Option (3)</u>

she should have divided 8 by 72, no this is not correct, we should divided 72 by 8.

<u>Option (4) </u>

she didn’t make an error, this is wrong as in 2nd option we caught an error.

Hence, second option is correct.

6 0
3 years ago
Read 2 more answers
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