Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers?

Question

05-07-2016
Mathematics

contestada

Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers?

Respuesta :

Otras preguntas

Which statement effectively takes a position for an argumentative essay about high school athletes being paid to play sports? High school students work hard for

Do sellers encourage customers to order a full case rather than a broken case? 1) Yes, sellers encourage customers to order a full case 2) No, sellers do not en

In the context of the methods used to set an advertising budget, identify a true statement about the percentage of sales or profits method? 1) The percentage of

When light strikes an opaque object, some of the light is ________________________________ and changed to tiny amounts of heat.absorbedcompressedredirected

40 points ……………………..

I need help for my Tok exhibition. The prompt is are some types of knowledge more useful than others. I need three objects and the justification of why you chos

What is a non-example of the following biology terms: Messenger RNA, Ribosomal RNA, Transfer RNA, Transcription, RNA polymerase, ribosome?

Abe is single his taxable income is 83,492 how much does Abe owe in taxes

A uniform meter stick is supported on a knife edge at the 40 cm mark. When a 130 g mass is hung at the 15.0 cm mark, the stick is balanced. What is the mass of

Which of the following are small square felted sponges used to control bleeding on a neural and vascular tissuea. cottonoids b. 4 ´ 4s c. laps d. Kittners

olemakpadu olemakpadu · Answer 1 · 2016-07-05T14:27:21+02:00

Let the number of shirts be x, and the jeans be y.

Total cost of shirts = 12x
Total cost of Jeans = 28y

This means that: 12x + 28y = 3900..........(a)

Selling price for Shirts 70% profit, means = 100% + 70% = 170% of the cost price

170/100 * 12x = 1.7*12x = 20.4x

Selling price for Jeans 125% profit, means = 100% + 125% = 225% of the cost price

225/100 * 28y = 2.25*28y = 63y

Total profit = 3885, remember total cost = 3900

Total selling price = 3885 + 3900 = 7785

20.4x + 63y = 7785..........(b)

12x + 28y = 3900.............(a)

20.4x + 63y = 7785...........(b)

Solving the simultaneous equation with a programmable calculator:

x = 150, y = 75

150 shirts and 75 jeans.

calculista calculista · Answer 2 · 2018-09-06T22:36:08+02:00

Let

x-------> the number of shirts

y------> the number of jeans

we know that

[tex]12x+28y=3,900[/tex] -------> equation [tex]1[/tex]

If she sold the shirts at [tex]70\%[/tex] profit and jeans at [tex]125\%[/tex] profit, her total profit was [tex]\$3,885[/tex]

so

[tex]1.7*(12x)+2.25*(28y)=3,900+3,885[/tex]

[tex]20.4x+63y=7,785[/tex] -------> equation [tex]2[/tex]

we have the following system of equations

[tex]12x+28y=3,900[/tex] -------> equation [tex]1[/tex]

[tex]20.4x+63y=7,785[/tex] -------> equation [tex]2[/tex]

using a graph tool

see the attached figure

The solution of the system is the intersection both graphs

the solution is the point [tex](150,75)[/tex]

that means

[tex]x=150\ shirts\\y=75\ jeans[/tex]

therefore

the answer is

the number of shirts is [tex]150[/tex]

the number of jeans is [tex]75[/tex]