A snack shop sells peanuts at $1.30 per pound and chocolate chips at $1.90 per pound. The owner decided to make a ten pound mixture of the two and sell it for $1.42 a pound. How many pounds of peanuts should be in the mixture

8 pounds of peanuts

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x be pounds  of peanuts

let y be pounds of chocolate chips

So:

1.3 * x + 1.9 * y = 1.42 * 10

x + y = 10 => x = 10 - y

Replacing, we are left with that:

1.3 * (10 - y) + 1.9 * y = 1.42 * 10

13 - 1.3 * y + 1.9 * y = 14.2

1.9 * y - 1.3 * y = 14.2 - 13

0.6 * y = 1.2

y = 1.2 / 0.6

y = 2

Now to calculate x:

x = 10 - 2

x = 8

Which means they are 8 pounds of peanuts and 2 pounds of chocolate chips.

answer: answer

step-by-step explanation:

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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