The school store sells pens, pencils, and paper. The pens are $1.25 each, the pencils are $0.50 each, and the paper is $2 per pack. Yesterday the store sold 25 items and earned $32. The number of pens sold equaled the number of pencils sold plus the number of packs of paper sold minus 5. Write the Equations that represent the situation.

x = 10, y = 7, z = 8

Pens = 10, pencils = 7, paper = 8

Step-by-step explanation:

Pens = $1.25

Pencils = $0.50

Paper = $2

Total sales = 25

Total revenue= $32

Pens = x

Pencils = y

Paper = z

x + y + z = 25

1.25x + 0.50y + 2z = 32

The number of pens sold equaled the number of pencils sold plus the number of packs of paper sold minus 5

x = y + z - 5

Substitute x = y + z - 5 into the equation

y + z - 5 + y + z = 25

1.25(y + z - 5) + 0.50y + 2z = 32

2y + 2z - 5 = 25

1.25y + 1.25y - 6.25 + 0.50y + 2z = 32

2y + 2z = 25 + 5

1.75y + 3.2z = 32 + 6.25

2y + 2z = 30 (1)

1.75y + 3.25z = 38.25 (2)

Multiply (1) by 13 and (2) by 8

26y + 26z = 390

14y +26z = 306

Subtract

26y - 14y = 390 - 306

12y = 84

Divide both sides by 12

y = 84 / 12

= 7

Substitute y = 7 into (1)

2y + 2z = 30

2(7) + 2z = 30

14 + 2z = 30

2z = 30 - 14

2z = 16

z = 16 / 2

= 8

z = 8

Substitute y = 7, z = 8 into

x + y + z = 25

x + 7 + 8 = 25

x + 15 = 25

x = 25 - 15

= 10

x = 10

x = 10, y = 7, z = 8

Pens = 10, pencils = 7, paper = 8

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows: