A volunteer is making gumbo for a local fundraiser, and the gumbo requires shrimp, cans of tomato sauce, and cups of rice. At the store, shrimp costs $10.99 per pound, each can of tomato sauce costs
$1.30, and rice is $0.40 per cup. He pays a total of $1046.75. The number of cups of rice purchased is
twice the number of pounds of shrimp purchased. The number of cans of sauce purchased is 25 less
than twice the pounds of shrimp purchased. How much of each ingredient did the volunteer buy for the
gumbo?

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons