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Paladinen [302]
3 years ago
12

A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Whic

h system of equations can be used to find the number of pencils (x) and pens (y) he bought?
Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0
Let pencil represent x
pen represent y
Next, we have this two equation:
x+1.5y=7
x+y=6
Then, I will use substitution to find the value of x and y:
x+1.5y=7
-
x+y=6
=
0.5y=1
y=2 pens
x+y=6
x+2=6
Subtract 2 for both side
x+2-2=6-2
x=4 pencils
Check:
x+y=6 items
4+2=6 items Right

x+1.5y=7
4+1.5(2)=$7
$4+$3=$7
$7=$7
As a result, there are 4 pencils , and 2 pens. Hope it help!
Nina [5.8K]3 years ago
4 0
Y= # of pencils 
z= # of pens
1y + 1.50z = 7
Total # of pencils and pens combined equals 6 
4 pencils = $4
2 pens = $3 
$4 + $3 = $7 
4 pencils + 2 pens = 6 items total
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Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

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3 years ago
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