Question

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. Let a represent the number of pounds of almonds and let p represent the number of pounds of pistachios. Which system of equations represents the situation?

Question 1 options:


{10a+p=70
a+70p=6.3



{10a+12p=70
a+p=6.3



{10a+12p=6.3
a+p=70



{10a+12p=70
10a+12p=6.3

Answer 1

second equation

Explanation:

10a + 12p = 70 (10 goes with almonds [a], 12 goes with pistachios[p], $10 and $12 is price per pound and $70 is total price, so that's why its = to 70)

a + p = 6.3 (this is total almonds and pistachios adding up to 6.3 pounds)

a = pounds of almonds

p = pounds of pistachios