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Sidana [21]
3 years ago
14

A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much

as $60 and want to buy at least two pairs of pants.
Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

x-intercept:

Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

8.99x \leq 60

Simplify:

x \leq 6.667

Since, x is in natural number;

x \leq 7

Similarly.

For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

3.99y \leq 60

Simplify:

y \leq 15.037

y \leq 15

Therefore, we have

8.99x + 3.99y \leq 60 ;

2\leq x\leq 7 and  0\leq y\leq 15

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Let unit cost of one rake be : r

Given : Total number of volunteers = 12

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⇒   Cost of 12 rakes + Cost of 12 pair of gloves = $300

⇒   12r + 96 = 300

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