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Chloe is buying souvenirs on vacation. She wants to spend $70 at most, but only has 60
cubic inches of space available in her luggage. If bracelets cost $7 and take up 3 in of space
and t-shirts are $5 but take 15 in of space, write a system of four inequalities that
model Chloe's possible purchases. Let x = number of bracelets and y = number of t-shirts;

Respuesta :

Answer:

x > 0

y >0  

7x + 5y ≤ 70

3 x + 15 y  ≤  60  

Above system of 4 inequalities is for Chloe's Possible purchases.

Step-by-step explanation:

The total budget of  spending  = $ 70 (maximum)

Total space available = 60 cubic inches

Let  x = number of bracelets

      y = number of t-shirts

Cost of each bracelet = $7

⇒ cost of x bracelets = x ( $7)   = 7x

Cost of each t - shirt  = $5

⇒ cost of  y t shirts  = y ( $5)   = 5y

So, the total expenditure on souvenirs  =  7x + 5y

Inch of space taken by each bracelet = 3 inches

⇒ Inch of space taken by x bracelets = x (3 inches )   = 3 x

Inch of space taken by each t - shirt  = 15 inches

⇒ Inch of space taken by  y t shirts  = y ( 15) inches   = 15 y

So, the total Inch of space taken by souvenirs   =   3 x + 15 y

According to the question:

x > 0

y >0  

7x + 5y ≤ 70

3 x + 15 y  ≤  60  

is the system of 4 inequalities for Chloe's Possible purchases.

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