Question

A nut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $3.55 per pound of cashew nuts. Over the entire day, 65 pounds of the nut mixture were sold for $189.95. If p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=65p+3.55n=189.95p+n=65p+3.55n=189.95 Determine the correct description and amount of pounds for almonds and cashew nuts that were sold. A (26.0, 39.0)There were 26.0 pounds of almonds and 39.0 pounds of cashew nuts sold at the fair. B (16.0, 49.0)There were 16.0 pounds of almonds and 49.0 pounds of cashew nuts sold at the fair. C (49.0, 16.0)There were 49.0 pounds of almonds and 16.0 pounds of cashew nuts sold at the fair. D (39.0, 26.0)There were 39.0 pounds of almonds and 26.0 pounds of cashew nuts sold at the fair.

Answer 1

the answer would be ( C )

Answer 2

B. (16.0, 49.0) There were 16.0 pounds of almonds and 49.0 pounds of cashew nuts sold at the fair.

Explanation:

Here, p represents the number of pounds of almond and n be the number of pounds of cashew nuts,

Since, total nuts = 65

⇒ p + n = 65 ----(1)

Also, the total spending is $ 189.95 in which almond costs $ 1.00 per pounds and cashew costs $ 3.55 per pound,

⇒ p + 3.55n = 189.95 -----(2)

Equation (1) - equation (2),

2.55n = 124.95

⇒ n = 49

From equation (1),

p + 49 = 65 ⇒ p = 16

Hence, there are 16 pounds of almonds and 49 pounds of cashew.