Answer:
The number of boxes of candy sold is 4
The number of rolls of wrapping paper sold is 10
Step-by-step explanation:
Let x = number of boxes of candy that was sold.
Let y = number of rolls of wrapping paper was sold.
The candy sells for 8 dollars per box and the wrapping paper sells for 6 dollars per roll. This means that x boxes of candy and y rolls of wrapping paper will be sold for
$(8x + 6y)
If you have sold 14 items, and collected 92 dollars, this means that
x + y = 14
8x + 6y = 92 - - - - - - -1
Substituting x = 14 - y into equation 1, it becomes
8(14-y) + 6y = 92
112 - 8y + 6y = 92
- 8y + 6y = 92 - 112
-2y = -20
y = 20/2 = 10
x = 14 - y
x = 14 - 10
x = 4
The number of boxes of candy sold is 4.
The number of rolls of wrapping paper sold is 10.
Answer:
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Step-by-step explanation:
let months stayed in spain be "s" and months stayed in columbia be "c"
We can write 2 equations.
Since, lived in Spain and Columbia for a total of 20 months, we can write:
s + c = 20
Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:
120s + 150c=2610
Solving first for s:
s = 20 - c
Putting in 2nd and solving:
120(20 - c) + 150c = 2610
2400 - 120c + 150c = 2610
30c = 210
c = 7
Now,
s = 20 - c = 20 - 7 = 13
So
"Dominic lived in Spain for 13 months and Columbia for 7 months."
First number = x
Second number = x + 2
Third number = x + 4
X + x +2 + x + 4 = 438
Simplify:
3x + 6 = 438
Subtract 3 from both sides
3x = 432
Divide both sides by 3
X = 144
The second number is 144 + 2 = 146
