Reiko needs to mail her Christmas cards and packages and wants to keep her mailing costs to no more than $357.50. The number of cards is at least 16 more than twice the number of packages. The cost of mailing a card (with pictures enclosed) is $2.50 and for a package the cost is $6.50.

Write a system of 2 inequalities to model this situation. Use " x " for the number of packages and " y " for the number of cards.

Respuesta :

Answer:

The system of inequalities describing this situation is  

3y+7x≤500

y ≥2x+4                        

Step-by-step explanation:

The system of inequalities to model the situation is  y ≥ 2x +16 and 13x +5y ≤ 715.

What is an Inequality?

An Inequality is a statement that is formed when two expressions are joined using an inequality operator.

The cost of mailing a card is $2.50

The cost for a package costs  $6.50.

If x is used for the number of packages

and, if y is used for the number of cards

The system of inequalities describing the situation is

The number of cards is at least 16 more than twice the number of packages

⇒y ≥ 2x +16

Reiko wants to keep his mailing costs to not more than $357.50

⇒6.5x +2.5y ≤ 357.5

⇒13x +5y ≤ 715

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