I have 100 coins in the ratio no. of ₹ 10 coins: no. of ₹ 5 coins: no. of ₹ 2 coins: no. of ₹1 coins : : 4 : 3 : 2 : 1. Class 8

I have 100 coins in the ratio no. of ₹ 10 coins: no. of ₹ 5 coins: no. of ₹ 2 coins: no. of ₹1 coins : : 4 : 3 : 2 : 1. Class 8

Question 1.

I have 100 coins in the ratio — no. of ₹ 10 coins: no. of ₹ 5 coins: no. of ₹ 2 coins: no. of ₹1 coins : : 4 : 3 : 2 : 1. How much money do I have in coins? Class 8

Solution:

Sum of ratios = 4 + 3 + 2 + 1 = 10

So, number of ₹10 coins = [latex]\frac{100}{10}[/latex] × 4 = 40

number of ₹ 5 coins = [latex]\frac{100}{10}[/latex] × 3 = 30

= number of ₹ 2 coins = [latex]\frac{100}{10}[/latex] × 2 = 20

and number of ₹ 1 coins = [latex]\frac{100}{10}[/latex] × 1 = 10

So, total money with me

= 40 × 10 + 30 × 5 + 20 × 2 + 10 × 1

= ₹ 600.

Question 2.

Construct a triangle with sidelengths in the ratio 3 : 4 : 5. Will all the triangles drawn with this ratio of sidelengths be congruent to each other? Why or why not? Class 8

Solution:

Do as directed. Construct triangles of sidelengths 3 cm, 4 cm and 5 cm or 6 cm, 8 cm and 10 cm, 1.5 cm, 2 cm and 2.5 cm, 12 cm, 16 cm and 20 cm, etc.

No. They will not be congruent as they are of different sizes.