Question

PLEASE HELP!
A geometry class has a total of
39 students. The number of males is 13
more than the number of females. How many males and how many females are in the class?

Answer 1

first, we need to define any variables

Answer 2

In a time crunch!!

Answer 3

please help

Answer 4

let x represent the number of males
let y represent the number of females

Answer 5

what is the condition they have set for us?
'there are 13 more males than there are females' right?

Answer 6

yep

Answer 7

hence x=13+y right? can you see this?

Answer 8

yes

Answer 9

so in total

x+ y = 39
and we know x interns of y right? x=13+y so sub this into the equation
(13+y)+y=39
13+2y=39 can you solve this now?

Answer 10

y=13 x=26

Answer 11

thank you so much!!

Answer 12

i have another one

Answer 13

no problem, fan and medal if you please

Answer 14

The sum of two numbers is
49
and the difference is
9
. What are the numbers?

Answer 15

we have two sets of equations. what does sum mean? and what does difference mean?

Answer 16

sum implies + addition
difference implies - subtraction, right?

Answer 17

yes

Answer 18

so if we have a number called x and a different number called y

then x+y=49
and x-y=9

Answer 19

yep

Answer 20

can you solve these simultaneously now?

Answer 21

uh

Answer 22

x=9+y right, just re-arrange the second equation. then sub this equation into the first equation.

(9+y)+y=49
2y=40
y=20

Answer 23

hence, x=29

Answer 24

At a hockey game, a vender sold a combined total of
183
sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answer 25

x+y=183 let x be soda y=hotdogs
x=2y
so 2y+y=183
3y=183
y=61, x=122

Answer 26

the pattern is all similar, try this on your own now

Answer 27

so number of hotdogs would be 61

Answer 28

yep