What is the value of the expression 9 x 4 - (2 x 1/2)
1 answer:
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Answer:
<u>188 children</u> and <u>145 adults</u> were admitted in the park.
Step-by-step explanation:
Given:
The admission fee at an amusement park is $1.50 for children and $4 for adults.
Total $862 collected on a certain day when 333 people enter the park.
Now, to find the children and adults admitted in the park.
<u><em>Let the number of children admitted be </em></u><u><em /></u>
<u><em>And the the number of adults admitted be </em></u><u><em /></u>
So, the total people enter the park:
Thus, the total amount collected of the admission fee:
Substituting the value of from equation (1):
<u><em>Thus, the number of adults = 145.</em></u>
Now, to get the number of children by substituting the value of in equation (1) we get:
<u><em>Hence, the number of children = 188.</em></u>
Therefore, 188 children and 145 adults were admitted in the park.
Answer:
The equation is y= 0,65 x
If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately pays (y) is the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.
The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).
Step-by-step explanation:
- The price without discount (or without the coupon) is x.
- The price with discount (or with coupon) is y.
- y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.
