Question

Astrid wants to buy pumpkins and watermelons. She wants to buy more than 10 fruits, and she has a

Answer 1

Answer:

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

Step-by-step explanation:

Let

P ----> the number of pumpkins and watermelons she can buy

W ----> the number of  watermelons she can buy

we know that

$P+W > 10$ ----> inequality A

$5.5P+3.5W < 117$ ---> inequality B

Note Both inequalities are given in the problem

If Astrid buy 7 pumpkins and 3 watermelons

then

we have the ordered pair (7,3)

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

For P=7, W=3

Verify Inequality A

$P+W > 10$

substitute the value of P and the value of W

$7+3 > 10$

$10 > 10$ ----> is not true

so

The ordered pair not satisfy the inequality A

Verify Inequality B

$5.5P+3.5W < 117$

substitute the value of P and the value of W

$5.5(7)+3.5(3) < 117$

$49 < 117$ ----> is true

so

The ordered satisfy the inequality B

therefore

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.