The difference in the total number of calories in a jar of peanut butter and a jar of jelly is 3,545. The sandwich that Julio made contained a total of 430 calories from the peanut butter and jelly alone, which was 2/23 of the jar of peanut butter and 2/33 of the jar of jelly. Which system of equations can be used to determine the total number of calories in the jar of peanut butter, x, and the total number of calories in the jar of jelly, y?

A. x-y=3545 and 2/23x+2/33y=430
B x-y=3545 and 2/33x+2/23y=430
C. x-y=3545 and 2/23x+2/33y=430
D. x-y=3545 and 2/33x+2/23y=430

Respuesta :

x - y = 3545
2/23x + 2/33y = 430....but answer choice A and C are the same

The system of equations are

[tex]x-y=3545[/tex]  and      [tex]\frac{2}{23} x+\frac{2}{33} y=430[/tex]

Given :

the total number of calories in the jar of peanut butter, x, and the total number of calories in the jar of jelly, y

The difference in the total number of calories in a jar of peanut butter and a jar of jelly is 3,545

[tex]x-y=3545[/tex]

Now we use total calories ,which was 2/23 of the jar of peanut butter and 2/33 of the jar of jelly

[tex]\frac{2}{23} x+\frac{2}{33} y=430[/tex]

The system of equations are

[tex]x-y=3545[/tex]  and      [tex]\frac{2}{23} x+\frac{2}{33} y=430[/tex]

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