Question

In a card game,hearts and spades are assigned diffrent point values.Sheila has 3 hearts and 4 spades,which is worh 41 points.Diego has 6 hearts and 5 spades,which is worth 67 points.How many points is a heart worth???

Answer 1

S=3hearts+4spades=41p

D=6hearts+5spades=67p

Answer 2

3h+4s=42

6h+5s=67

Answer 3

solve these equations simultaneously ,

Answer 4

how do i do that..

Answer 5

Wait hold on why is it 42 not 41

Answer 6

ops my error

Answer 7

3h+4s=41
imagine we had this hand, Twice,
6h+8s, which would be worth 82 points

Answer 8

it would be the 3h+4s=41

Answer 9

righhht

Answer 10

now we know
6h+8s=82

and we already knew diago's hand
6h+5s, which was worth =67

the only difference is three spades and (82-67) points

Answer 11

so we can determine the value of a single spade by dividing by three

Answer 12

so we divide 82/3????

Answer 13

oh, dont divide by three yet
find the difference first
82-67=?

Answer 14

15

Answer 15

ok so that means

3spades=15p

now divide both sides by three

Answer 16

1spade=?p

Answer 17

so the answer would be 6

Answer 18

1 spade = 1p

Answer 19

that is not right

Answer 20

1 spade =15/3 points

Answer 21

okay.....

Answer 22

what is one spade worth is you simplify the quotient ?

Answer 23

yeah im soo bad at math .

Answer 24

is 15 on your three times tables ?

Answer 25

yes

Answer 26

3x5=15

Answer 27

good
3x5=15
so
5=15/3

Answer 28

right?
so each spade is worth 5 points,

Answer 29

yes

Answer 30

you can now uses this information
when looking at Either of
Sheila's
3hearts+4spades=41p

Or Diago's hand
6hearts+5spades=67p

Answer 31

So how do we find the points of heart

Answer 32

3h+4s=41p (1)

6h+5s=67p (2)


if you multiply the both sides of equation(1) by 2
you get

6h+8s=82p (3)


now what is the difference between (2) and (3)

(2) - (3) = ?