Question

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

Answer 1

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

Explanation:

herbal- $1.50

regular- $1

$1*4 =$4

$1.50*5 = $7.50

$4.00+ $7.50=11.50

Answer 2

Herbal tea box = 3

Regular tea box = 7

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.

`x+y=10\Rightarrow y=10-x` .... (1)

`1.50x+1.00y=11.50` ... (2)

From (1) and (2) we get

`1.50x+1.00(10-x)=11.50`

`1.50x+10-1.00x=11.50`

`0.50x=11.50-10`

`0.50x=1.50`

`x=(1.50)/(0.50)=3`

Substitute x=3 in equation (1).

`y=10-x=10-3=7`

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