Question

if 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03 what is the cost of 1 notebook

Answer 1

Step-by-step explanation:

let,

cost of 1 notebook be x

and , cost of 1 package of Pens be y

so, a/q

4 books = 4x

and 3 package of Pens = 3y

so, the equation is

4x + 3y = $7.43 ----------- (eqⁿ 1)

and,

5 notebooks = 5x

2 packages = 2y

so, the equation is

5x + 2y = $7.03 ------------ (eqⁿ 2)

now,

multiply (eqⁿ 1) by 5 and (eqⁿ 2) by 4

so, we got

20x + 15y = $37.15 --------- (eqⁿ 3)

and

20x + 8y = $28.12 ------------ (eqⁿ 4)

now,

subtract (eqⁿ 4) from (eqⁿ 3)

we got,

7y = $4.03

→ y = 4.03/7 = $1.29

therefore,

→ 4x + 3(1.29) = $7.43

→ 4x + 3.87 = $7.43

→ 4x = 7.43 - 3.87 = 3.56

→ x = 3.56/4 = 0.89

→ x = $0.89

therefore, cost of one notebook is $0.89

hope this answer helps you dear...take care and may u have a great day ahead!

Answer 2

Answer:

3

Step-by-step explanation: