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Ariana is buying bread and some cheese
to make sandwiches for a family picnic
She cannot spend more than $50. She
has already bought 3 loaves of bread for
$3,36 each. The cheese she wants to
buy costs $4.99 per pound. Which of the
following inequalities correctly models
the amount of cheese x, In pounds, that
Ariana can buy?
OA. 3.36 4.99€ < 50

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2020-03-30T02:54:29+02:00

Answer:

[tex]10.08+4.99x\leq 50[/tex]

[tex]x\leq 8[/tex]

The maximum pounds of cheese that Ariana can buy is 8

Step-by-step explanation:

Let

x ---> the amount of cheese In pounds, that Ariana can buy

we know that

The cost of 3 loaves of bread plus the cost of the cheese must be less than or equal to $50

so

The inequality that represent this situation is

[tex]3(3.36)+4.99x\leq 50[/tex]

[tex]10.08+4.99x\leq 50[/tex]

solve for x

subtract 10.08 both sides

[tex]4.99x\leq 50-10.08[/tex]

[tex]4.99x\leq 39.92[/tex]

divide by 4.99 both sides

[tex]x\leq 8[/tex]

Therefore

The maximum pounds of cheese that Ariana can buy is 8