Question

50% of 320 is equal to 80% of what number?

Answer 1

Answer:

50% of 320 is equal to 80% of 200

Step-by-step explanation:

$\sf{50\% \times 320}$

$\sf{ = \frac{50}{100} \times 320 }$

$\sf{ = \frac{16000}{100} }$

$= \sf{160}$

-

$\sf{160 \div 80\%}$

$\sf{ = 160 \div \frac{80}{100} }$

$\sf{ =\cancel{ 160} \times \frac{100}{\cancel{80}} }$

$\sf{ = 2 \times 100}$

$= \boxed{\sf{\underline{\purple{200}}}}$

Answer 2

Answer:

50% of 320 is equal to 80% of 200.

Step-by-step explanation:

Given,

50% of 320 is equal to 80% of a number (let it be x)

Now,

50% of 320

= 50% × 320

= 50/100 × 320

= 50/10 × 32

= 5 × 32

= 160

Also now,

160 is equal to 80% of x.

80% of x = 160

80% × x = 160

80/100 × x = 160

8/10 × x = 160

4/5 × x = 160

4/5x = 160

x = 160 ÷ 4/5

x = 160 × 5/4

x = 40 × 5

x = 200