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PLZ ONLY ANSWER IF U CAN SHOW STEP BY STEP! Susanna is packaging a blend of mixed nuts and candies for wedding favors. The mixed nuts cost her $3 per pound and the candies cost her $4 per poun d. Susanna bought a total of 8 lbs of nuts and candies and spent a total of $27. How many pounds of nuts and candies did Susanna buy? – Include specific steps in your letter

Respuesta :

MrRoyal

Answer:

Susanna bought 3 pounds of candies and 5 pounds of mixed nuts

Step-by-step explanation:

Represent Nuts with N and Candies with C

For Amount:

[tex]3N + 4C = 27[/tex]

For Weights:

[tex]N + C =8[/tex]

Required

Solve for N and C

Make N the subject in the second equation

[tex]N=8 - C[/tex]

Substitute 8 - C for N in the first equation.

[tex]3N + 4C = 27[/tex]

[tex]3(8 - C) + 4C = 27[/tex]

[tex]24 - 3C + 4C = 27[/tex]

[tex]24 + C = 27[/tex]

Solve for C

[tex]C = 27 - 24[/tex]

[tex]C =3[/tex]

Recall that:

[tex]N=8 - C[/tex]

[tex]N = 8 - 3[/tex]

[tex]N = 5[/tex]

Hence, Susanna bought 3 pounds of candies and 5 pounds of mixed nuts

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