A 9-kg bag of mangoes for $12
he ratio of 3:1 involves 4 units. 3 men +1 woman.
Find how many people each unit represents:
4units 2476 people
Therefore each unit represents 2476/4 = 619 people per unit
Now, take the ratio, and multiply up:
3:1 => 3619:1619 => 1857:619 You check this is right by adding the two fractions:
1857 men + 619 women = 2476 people therefore, we are correct
The number of men more than women = Number of men - Number of women
= 1857-619 = 1238 and that is your answer
So
represent x for number of $14 movie tickets she got
y is number of $12 movie tickets
total of 9 tickets
x+y=9
total value is 114
14x+12y=114
we have
x+y=9
14x+12y=114
solve
multiply first equation by -12 and addd to oth equesiton
-12x-12y=-108
14x+12y=114 +
2x+0y=6
2x=6
divide 2
x=3
sub back
x+y=9
3+y=9
minus 3
y=6
3 of the $14 tickets
6 of the $12 tickets
Its true because integers are negative and positive numbers including zero, and a whole number is a positive counting number including zero
SinA /a = sin C / c
sin 60/9 = sin C / 10
(√3/2)/9 = sinC/ 10
√3/18 = sin C / 10
so c will be sin inverse ((10√3)/10)