Two brothers are saving money to buy a new game system. their combined savings is $85. one brother has $22 more than the other. how much has each brother saved? write an equation and solve it. show all of your work.

Let the two brothers be: x and y

Their combined savings is $85: x + y = 85

One brother (x), has $22 more than the other (y): x = 22 + y

Plug in 22 + y for x in the first equation

(22 + y) + y = 85

Combine like terms

2y + 22 = 85

Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

2y + 22 (-22) = 85 (-22)

2y = 85 - 22

2y = 63

Isolate the y. Divide 2 from both sides

2y/2 = 63/2

y = 63/2

y = 31.5

Plug in 31.5 for y in one of the equations

x = 22 + y

x = 22 + (31.5)

x = 53.5

One brother made $53.50, and the other made $31.50

hope this helps

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.