Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

Question

3 years ago

9

shipping, to purchase 6.3 total pounds of nuts

1 answer:

timofeeve [1] · Answer 1 · 2022-01-31T18:57:48+03:00

Answer:

Christopher bought 3.5 pounds of roasted pistachios and 2.8 pounds of raw almonds.

Step-by-step explanation:

From the information given, we can write the following equations:

A+P= 6.3 ①

10A+12P= 70 ②

To resolve them, we have to isolate one of the variables in the first equation and then replace that in the second equation:

A=6.3-P ③

10(6.3-P)+12P=70

63-10P+12P= 70

2P= 70-63

P= 7/2=3.5

Now, that we have found the quantity of roasted pistachios, we can replace that in equation number 3 to find the quantity of raw almonds:

A= 6.3-3.5= 2.8