At Standing Still supplies store, 2 pencils cost 50 cents more than a pen. Nikhil buys 3 pencils and 4 pens, and the total cost is $6.50. Find the cost of a pencil and a pen.

Answer 1

cost of one pencil and one pen = about $1.82

let x= cost of a pencil and y = cost of a pen

3x+4y = 6.5

2x= .5+y

3x = .75 +1.5y

.75 +1.5y +4y = 6.5

5.5y = 5.75

11y = 115

y = 115/110 = 23/22 = $1 and 1/22 of a dollar = about $1.05

x = .25+y/2 = 1/4 + 1/2+1/44 = (11+22+1)/44 = 34/44 = 17/22 of a dollar = about 77 cents

check the answer

3x+4y = 51/22 + 4 +4/11 = 4+5/2 = 6.5

2x = 1/2 +y

34/22 = 1/2 +23/22 =11/22 +23/22 = 34/22

3(.77) + 4(1.05 = 2.31+4.20 = 6.51

2(.77) = 1.54 = .5+1.05 = 1.55 very close

cost of a pencil and a pen = about 1.05 + .77 = about $1.82

or exactly $1 and 9/11 part of a dollar

Answer 2

Answer $1.50 Dollars per pencil and $0.50! cents per Pen )

let’s see the breakdown.

$1.50

$1.50( pencils $1.50 each )

$1.50

$0.50

$0.50 ($ 0.50 each Pen )

$0.50

$0.50

———————-

$6.50 TOTAL

the prove of 2 pencils cost . According to the equation , was 50 cents more than the cost of one pen, the math it’s clear , algebra is very helpful, just practice and o am here to help ,