The Space after three turns is 60.
The board is 100 spaces.
His first turn he moves 1/5 of the spaces
So, 1/5 of 10 = 20 spaces.
Now
His second turn he moves 1/4 fewer spaces.
This means he moves 1-1/4 = 3/4 of the spaces he did in the first turn.
Now 3/4 of 20 = 15 spaces.
Now
His third turn he moves 1 1/4 times the number of spaces he did the first turn.
= 1 1/4
= 1 + 1/4
= 4/4 + 1/4
= 5/4;
Now
5/4 of 20
= 25 spaces.
So, overall it should be
= 20+15+25
= 60 spaces.
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The correct answer is:
Space 60.
Explanation:
The board is 100 spaces.
His first turn he moves 1/5 of the spaces; 1/5 of 100 = 1/5(100) = 1/5(100/1) = 100/5 = 20 spaces.
His second turn he moves 1/4 fewer spaces. This means he moves 1-1/4 = 3/4 of the spaces he did in the first turn. 3/4 of 20 = 3/4(20) = 3/4(20/1) = 60/4 = 15 spaces.
His third turn he moves 1 1/4 times the number of spaces he did the first turn.
1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4; 5/4 of 20 = 5/4(20) = 5/4(20/1) = 100/4 = 25 spaces.
Altogether he has moved 20+15+25 = 60 spaces.
Adults
Children
Total
She bought 54 child tickets and 19 adult tickets.
Step-by-step explanation:
No. of tickets purchased = 73
Cost of tickets = $771
Cost of one child ticket = $9
Cost of one adult ticket = $15
Let,
Child ticket = x
Adult ticket = y
According to given statement;
x+y=73 Eqn 1
9x+15y=771 Eqn 2
Multiplying Eqn 1 by 9;
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 6;
Putting y=19 in Eqn 1
She bought 54 child tickets and 19 adult tickets.
Keywords: linear equations, subtraction
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