Answer: 33 child tickets that were sold.
Step-by-step explanation:
Let x represent the number of child tickets that were sold.
Let y represent the number of adult tickets that were sold.
At the city museum, child admission is $5.40 and adult admission is $9.10. A total sales of $1079.10 was made on Monday. This means that
5.4x + 9.1y = 1079.1 - - - - - - - - - -1
On Monday, three times as many adult tickets as child tickets were sold. This means that
y = 3x
Substituting y = 3x into equation 1, it becomes
5.4x + 9.1 × 3x = 1079.1
5.4x + 27.3x = 1079.1
32.7x = 1079.1
x = 1079.1/32.7
x = 33
y = 3x = 3 × 33
y = 99
Answer:
Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse
Step-by-step explanation:
Sue's kayaking path is the hypotenuse of a right triangle.
so we use a squared + b squared = c squared
10.5^2+3.2^2=c^2
110.25+10.24=c^2
120.49=c^2
10.9768=c
and then because it said to round to the nearest tenth that would be 11.0 miles.
She's going at an average speed of 3.3 mph
that means it takes her about .3 hours to do 1 mile
so it would take her 3.3 hours to go 11 miles
marty is going at an average speed of 7 mph
so she takes 0.14 hours to go 1 mile
0.14 x 25 = 2.5
21/100 is the answer. Hope this helped!
Remark
This may be a little confusing, but because they are travelling in opposite directions, the distances add when you want to get how far apart they are.
d1 + d2 = 1541
Equation
Let the time this happens = t
d1 = 323*t
d2 = 347*t
323*t + 347*t = 1541 Combine like terms on the left.
670t = 1541 Divide by 670
t = 1541/670
t = 2.3 hours pass before the distance of 1541 miles are between the two planes. You might need the answer to be 2 hours 18 minutes.
