Question

please solve all the problems

Answer 1

a)
$\frac{12}{16}$
$\frac{12 \times \frac{100}{16} }{16 \times \frac{100 }{16} } \\ \frac{12 \times \frac{100}{16} }{100} \\ \frac{3 \times \frac{100}{4} }{100} \\ \frac{25 \times 3}{100} \\ \\ 75\%$
B)
3.5

3.5*100
= 350%
c)
$\frac{49}{50}$
$\frac{49 \times 2}{50 \times 2}$
=98%
D)
$\frac{2}{2}$
$\frac{2 \times 50 }{2 \times 50} \\ \frac{100}{100}$
=100%

2.
I) let x% of 32

Students absent= absent students percentage * 32
8=x% * 32
$8 = \frac{x}{100} \times 32 \\ 800 = 32x \\ \\ x = 25$

=25% students are absent

ii) let x% radios be out for order


radios out for order= out for order% * total amount of radios
16= x% * 25
$16 = \frac{x}{100} \times 25 \\ 16 = \frac{x}{4} \\ x = 64$
=64% radios are out for order out of 25 radios

iii)let x% parts be defective

defective parts= defective parts% * total parts
5=x% * 500
$5 = \frac{x}{100} \times 500 \\ 5 = 5x \\ 1 = x \\ \\ x = 1$
=1% of the parts of the shop are defective out of 500 parts

IV) let the percentage of voters voted yes be x%

number of voters voted yes = percentage * total number of voters

90= x% * 120
$90 = \frac{x}{100} \times 120 \\ 90 = \frac{x}{10} \times 12 \\ 900 = 12x \\ x = \frac{900}{12} \\ \\ x = 75$
=75% voters voted yes