<span>n = 11<span>.
Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.
Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.
Together, they sold n-10+n-2=2n-12 boxes.
We know that they sold less than n boxes, so our inequality would be
2n-12<n.
To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.
Add 12 to both sides:
n-12+12<0+12; n<12.
This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.
If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box. </span></span>
Break it down
<span>48 = 2x24 = 2^2 x12 = 2^3 x 6 = 2^4 x 3 </span>
<span>This is what you were looking for: 48 as a product of prime factors! </span>
<span>48 = 2x2x2x2x3 = 2^4 x 3 </span>
The cost of one adult ticket is $12 and cost of one child ticket is $8.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
x+4y=44 Eqn 1
5x+2y=76 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 18
Putting y=8 in Eqn 1
The cost of one adult ticket is $12 and cost of one child ticket is $8.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
$6.95 before tax is the total cost