On a certain hot summer day, 738 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?

A = 340 adult.

C = 398 children.

Step-by-step explanation:

Let the number of children be C

Let the number of adults be A

Translating the word problem into an algebraic equation, we have;

A + C = 738  equation 1

1.5C + 2C = 1306  equation 2

A = 738 - C equation 3

Substituting eqn 3 into eqn 2, we have;

1.5(738 - C) + 2C = 1306

1107 - 1.5C + 2C = 1306

1306 - 1107 = 2C - 1.5C

199 = 0.5C

C = 199/0.5

C = 398 children.

Now, to find the value of A.

From equation 3;

A = 738 - C

A = 738 - 398

A = 340 adult.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

-2 is the right