Finding the Difference between the Largest and Smallest Share in a Ratio Division Problem

The video tutorial explains how to calculate the difference between the largest and smallest shares when ¥3450 is divided in the ratios 2/6 and 7. It involves adding the ratios to find the total parts, calculating the value of one part, and then determining the difference in parts between the largest and smallest shares. The final calculation is done by multiplying the difference in parts by the value of one part, resulting in ¥1170. The tutorial also outlines the marking scheme for the problem.

What is the first step in solving the problem of dividing ¥3450 in a given ratio?

• Add the parts of the ratio to find the total number of parts

• Divide the total amount by the largest part of the ratio

• Subtract the smallest part from the largest part

• Calculate the difference between the largest and smallest shares

How do you determine the value of one part of the ratio?

• Divide the total amount by the total number of parts

• Add the largest and smallest parts together

• Subtract the smallest part from the total amount

• Multiply the total amount by the number of parts

What is the difference in parts between the largest and smallest shares in the ratio?

• 5 parts

• 3 parts

• 2 parts

• 7 parts

What is the final value of the difference between the largest and smallest shares?

• ¥1200

• ¥1150

• ¥1300

• ¥1170

How many marks can be earned for correctly solving the ratio problem?

• 5 marks

• 4 marks

• 3 marks

• 2 marks