Nuts. com sells raw almonds for $8 per pound and roasted pistachios for $9 per pound. Christopher spends $162, before taxes and shipping, to purchase 19 total pounds of nuts. How many pounds of pistachios did Christopher purchase?

The pounds of roasted pistachios nuts Christopher purchases is 10 pounds

Step-by-step explanation:

The given parameters are;

The price of raw almonds at Nuts.com = $8 per pound

The price of roasted pistachios at Nuts.com = $9 per pound

The amount Christopher spends on Nuts = $162

The quantity of nuts Christopher purchase = 19 pounds

Let the pounds of raw almonds nuts Christopher purchases = X and the pounds of roasted pistachios nuts Christopher purchases = Y

∴ $8·X + $9·Y = $162...(1)

X + Y = 19...(2)

Making X the subject of the formula in equation (2), we have;

X = 19 - Y

Substituting the value X in equation (1) gives;

$8·(19 - Y) + $9·Y = $162

$152 - $8·Y + $9·Y = $162

$1·Y = $162 - $152 = $10

Y = $10/($1) = 10

Y = 10 pounds

The pounds of roasted pistachios nuts Christopher purchased = Y = 10

The pounds of roasted pistachios nuts Christopher purchases = 10 pounds

X = 19 - Y = 19 - 10 = 9

X = 9 pounds

The pounds of raw almonds nuts Christopher purchases = X = 9

The pounds of raw almonds nuts Christopher purchases = 9 pounds

astronomers is your final answer! : )

75%

step-by-step explanation: