Will award Brainliest 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;
Answers
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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