Answer:
Step-by-step explanation
- Let x be the number of adults and y the number of kids
We can then write this two equations :
x+y= 33
15x+7y= 311
- let's solve the two eaquations
to do that we should combine them both in a way that help us get rid of one of the variables.
Let's multiply the first equation by -7 to get rid of y by adding it to thr second equation
-7x-7y= -231
now add both equations .
15x+7y-7x-7y=311-231
we get : 8x = 80
as you notice y is gone and we get a classic easy equation to solve
x= 80/8
= 10
so the number of adults is 10
let's go back to the first equation ( x+y= 33) and replace x with 10
10+y= 33
y= 33-10
=23
let's check using the second equation :
(10*15)+(23*7) = 311
that is true
so :
- the number of adults is 10
- the number of kids is 23
AC and DB are the same length. Set the two to equal each other and solve for y.
9y + 1 = 8y +17
Subtract 8y from both sides:
y + 1 = 17
Subtract 1 from each side:
y = 16
Now you know Y you can find the the length of DB:
DB = 8y +17 = 8(16) +17 = 128 + 17 = 145
EB is half of DB:
EB = 145 / 2
EB = 72.5
Ok. so lets call the cost of each soda x. now, 3 packs of soda is 10 less than five packs of soda. so the price of 3 packs of soda is 3x, the price of five packs is 5x. now, it says that 3 packs is 10 less than five packs. that means that 3x=5x-10.
now, to find the price of a pack of soda, we have to isolate x.
add 10 to both sides to get 3x+10=5x. now, we subtact 3x on both sides to get 10=2x. divide by 2 on both sides, x=5. a pack of soda is 5 dollars
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Answer:
you would multiply the price by .20
Step-by-step explanation:
example:
20% of $160
sale, 20% off
160 x .20 = 32
$32 is 20% of $160, $128 is the sale price
