I think it might be 14 not sure
I think the answer is false but I’m not for sure
Hey there!!
Let us take the price of cinnamon tea as ' x ' and spice tea as ' y '
Now, let us take it into equation
12x + 3y = 15 -------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Let us multiply the first equation with 4
48x + 12y = 60 --------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Now, subtract equation 2
48x + 12y = 60
-14x - 12y = -45
Now, we get,
34x = 15
x = 15 / 34
This is the cost for cinnamon tea = $ 15 / 34
Now, substitute this into one equation
Let us take this equation - 12x + 3y = 15
Now, substitute ' x '
12 ( 15 / 34 ) + 3y = 15
6 ( 15 / 17 ) + 3y = 15
90 / 17 + 3y = 15
3y = 15 - 90/17
3y = 165 / 17
y = ( 165/17 ) ( 1 / 3 )
y = $ 55/17
Cinnamon tea = $ 15/34
Spice tea = $ 55/17
Hope helps!
Answer:
35
Step-by-step explanation:
Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.
The LCM will be abx = 14x, so we have ab = 14.
Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...
a=2, b=7
For a=2 and ax=10, we have x=5.
The dad's age is bx = 7·5 = 35.
