Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
Answer:
<em>X ball bearings will be made in 1 hour and 20 minutes</em>
Step-by-step explanation:
<u>Proportions
</u>
The proportions give us an important tool to easily solve common problems of any type. We know that:
Company ABC can make X ball bearings in 3 hours.
Company DEF can make X ball bearings in 4 hours.
Company GHI can make X ball bearings in 6 hours.
In one hour, each company can make
ABC: X/3 ball bearings
DEF: X/4 ball bearings
GHI: X/6 ball bearings
Working together, they can make
ball bearings. Operating
If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need
hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes
X ball bearings will be made in 1 hour and 20 minutes
Answer: -0.57
Step-by-step explanation:
z-score: data - mean / standard deviation
25 - 27 / 3.5
= -0.57
Answer:
(1-33/100)x and 0.67x
Step-by-step explanation:
33% is 33 out of 100, or 33/100. Since the new recipe has 33%, or 33/100, less sodium, this means we take x, the amount in the old soup, and subtract 33/100 from it:
1 - 33/100 would represent the percent of sodium remaining, and x is the original amount, giving us (1-33/100)x.
If we write this percent as a decimal, we get 0.33. Taking this away from 100%, which is written in decimal form as 1, we get
1 - 0.33 = 0.67
Now we multiply this by the original amount of sodium, x:
0.67x
420-x=76 try that equation if not you might want a math tutor.
