Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
shipping, to purchase 6.3 total pounds of nuts
1 answer:
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
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