Luis ans Carrie purchased two types of tea .the herbal tea variety cost $1.50 per box and the regular variety cost $1.00 per box they bought A total of 10 boxes and spent $11.50 how many boxes of each type did they buy

Respuesta :

Answer:

I'm not Certain but I'm thinking that it would be 4 boxes of the regular tea and 5 of the herbal tea.

Step-by-step explanation:

herbal- $1.50

regular- $1

$1*4 =$4

$1.50*5 = $7.50

$4.00+ $7.50=11.50

Answer:

Herbal tea box = 3

Regular tea box =  7

Step-by-step explanation:

Le x be the number of herbal tea box and y be the number of regular tea box.

The herbal tea variety cost $1.50 per box and the regular variety cost $1.00 per box they bought A total of 10 boxes and spent $11.50.

[tex]x+y=10\Rightarrow y=10-x[/tex]          .... (1)

[tex]1.50x+1.00y=11.50[/tex]             ... (2)

From (1) and (2) we get

[tex]1.50x+1.00(10-x)=11.50[/tex]

[tex]1.50x+10-1.00x=11.50[/tex]

[tex]0.50x=11.50-10[/tex]

[tex]0.50x=1.50[/tex]

[tex]x=\dfrac{1.50}{0.50}=3[/tex]

Substitute x=3 in equation (1).

[tex]y=10-x=10-3=7[/tex]

Therefore, the number of herbal tea boxes is 3 and the number of regular tea boxes is 7.

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