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Alexis has a stamp collection of 3 cent stamps and 8 cent stamps. She has 1 less 8 cent stamps as 3 cent stamps. If the collection has a face value of 69 cents, how many of each does she have?

She has ____ 3 cent stamps and _____ 8 cent stamps.

Respuesta :

fazaima328

Answer:

She has seven 3 cents stamps and six 8 cents stamps.

Step-by-step explanation:

7*3 = 21

6*8 = 48

48 + 21 = 69

luisejr77

Answer: She has SEVEN 3 cent stamps and SIX 8 cent stamps.

Step-by-step explanation:

Let be "x" the number of  8 cent stamps and "y" the number of  3 cent stamps.

Set up the following system of equations:

[tex]\left \{ {{x=y-1} \atop {8x+3y=69}} \right.[/tex]

Substitute the first equation into the second one and the solve for "y":

[tex]8(y-1)+3y=69\\\\8y-8+3y=69\\\\11y=77\\\\y=7[/tex]

Substitute the value of "y" into the first equation:

[tex]x=7-1\\\\x=6[/tex]

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