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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;

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.