6 ) Jason spent half of his allowance going to the movies. He washed the family car and earned 6 dollars. What is his weekly allowance if he ended with 13 dollars ?
7 ) On Monday , 209 students went on a trip to the zoo. All 5 buses were filled and 9 students had to travel in cars. How many students were in each bus ?
8 ) The sum of three consecutive even numbers is 72.
What is the smallest of the three numbers ?
Answers
Answer:
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Answer:
Ans1) Let his allowance be x
Hence, he spent x/2 to the movies
He earned 6 dollars
He left with 13 dollars
By condition,
x/2 + 6 = 13
=> x/2 = 13-6 = 7 => x = 7×2 = 14 (ans).
Hence, his weekly allowance is 14 dollar.
Ans2) Let the number of students in each bus be x
By condition,
209 - 5x = 9
=> 5x=209-9=200 => x=200/5=40 (ans).
There were 40 students in one bus.
Ans3) Let the three consecutive even numbers be 2x, 4x and 6x
By condition,
2x+4x+6x = 72
=> 12x = 72 => x = 72/12 = 6
=> 2x = 2×6 = 12 (smallest number)
=> 4x = 4×6 = 24
=> 6x = 6×6 = 36
Hence, the smallest number is 2x = 12.
Step-by-step explanation:
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