Answer:
24
Step-by-step explanation:
Let 12x represent the original number.
One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.
Create an equation that sets this equal to 38, and solve for x:
12x + 3x + 4x = 38
19x = 38
x = 2
The original number is represented by 12x, so plug in 2 as x:
12(2)
= 24
So, the original number is 24.
Answer: 60 cappuccinos were sold.
Explanation:
x = number of lattes sold
y = number of cappuccinos sold
Two equations can be set up:
x + y = 78
4x + 3y = 252
The first equation can be rearranged and substituted into the other equation to find the value of a variable.
y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18
To find y, the value of x can be substituted into either equation.
x + y = 78
18 + y = 78
y = 60
To check answers, substitute both values into the original equations and make sure they work.
x + y = 78
18 + 60 = 78
78 = 78
4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
$650. You start with finding how many square feet the floor and the tiles are. 40x50=2000 square feet for the floor and 2x2=4 square feet for the tile. You then take 2000/4=500 to get the amount of tiles that you will need. After that, you take 500/10=50 to get the number of packages you will need. The final step is taking 50x13=$650 to get the total cost
