an Adult ticket at an amusement park costs $24.95 and a child’s ticket costs $15.95. A group of 10 people paid $186.50 to enter
1 answer:
Answer:
The number of adults in the group were 3
Step-by-step explanation:
Given as :
The cost for adult ticket in park = At = $ 24.95
The cost for child's ticket in park = Ct = $ 15.95
The number of people in group = 10
The Total amount paid as tickets = $ 186.50
Let the number of adults = A
The number of child = C
So, According to question
A + C = 10
And A + C = 10
Or, 24.95 A + 24.95 C = 249.5 .......1
Or, 24.95 A + 15.95 C = 186.50 ......2
Solve the above equation 1 and 2
Or , ( 24.95 A + 24.95 C ) - ( 24.95 A + 15.95 C ) = 249.5 - 186.50
Or, 9 C = 63
∴ C = = 7
I,e Number of child's in group = 7
So Number of Adults in group = 10 - 7 = 3
Hence The number of adults in the group were 3 Answer
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Answer:
The value of x is 9 ⇒ C
Step-by-step explanation:
In a circle, if two chords intersected at a point inside it there are four segments created, two in each cord, the products of the lengths of the line segments on each chord are equal.
<em>Let us use this rule to solve the question</em>
In circle H
∵ Jk and LM are chords intersected at point N inside the circle
∴ The created segments are JN, Nk, and LN, NM
→ By using the rule above
∴ JN × NK = LN × NM
∵ JN = x and NK = 2
∵ LN = 3 and NM = 6
→ Substitute these values in the equation above
∴ x × 2 = 3 × 6
∴ 2x = 18
→ Divide both sides by 2 to find x
∴
∴ x = 9
∴ The value of x is 9