Question

the sum of 55% of a number and 40% of the same number 180.5 .what is 80% of that number​

Answer 1

Answer:

152

Step-by-step explanation:

Let the number be 'x'

55% of x = $\frac{55}{100} x = \frac{55x}{100}$

40% of x = $\frac{40}{100} x = \frac{40x}{100}$

$\frac{55x}{100} + \frac{40x}{100} = 180.5\\\frac{55x + 40x}{100} = 180.5\\\frac{95x}{100} = 180.5\\\frac{95}{100}x = 180.5\\x = 180.5 *\frac{100}{95} [taking \frac{95}{100}to the other side]\\x = \frac{18,050}{95}\\x = 190$

So, 80% of x = $\frac{80}{100} x = \frac{8}{10} x\\= \frac{8*190}{10} \\= 8 * 19\\= 152$