Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H
an’s grandmother should sit for the entire ride. Han, his sister, and his dad take turns sitting in the remaining two seats, and Han’s dad sits 1.5 times as long as both Han and his sister. How many minutes did each one spend sitting?
2 answers:
Answer:
Han= 24 mins
His sister= 24 mins
His dad= 36 mins
His grandmother= 36 mins
Step-by-step explanation:
The above picture shows another method to solve the question without the use of many variables. This method involves the use of units to show the duration each person spent sitting in relation to the others (except grandmother since she sat throughout). Models were drawn to help with visualization.
G stands for grandmother and H, S and D stands for Han, his Sister and his Dad respectively.
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The integers are 12, 14.
Solution:
Let the even consecutive integers be x and x + 2.
Lesser number = x and Greater number = x + 2
Lesser number = Half of greater number + 5
To add the numbers, denominators must be same. So multiply 5 by .
Multiply by 2 on both sides, we get
⇒ 2x = x + 12
Subtract x from both sides.
⇒ x = 12
Lesser number = 12
Greater number = 12 + 2 = 14
Hence the integers are 12, 14.