Ann Marie wishes to mix peanuts worth $1.38 a pound with cashews worth $2.10 a pound to get 8 pounds of mixture worth $1.65 a pound. How many pounds of peanuts does she need?

5

Explanation:

Let the pound of peanut be represented by x.

Let the pound of cashew be represented by y.

Therefore, x + y = 8

1.38x + 2.1y = 1.65

Since x+y = 8

y = 8-x

Then, 1.38x + 2.1y = 1.65 = 1.38x + 2.1(8 - x) = 1.65 × 8

= 1.38x + 16.8 - 2.1x = 13.2

Collect like terms

1.38x - 2.1x = 13.2 - 16.8

-0.72x = -3.6

x = 3.6/0.72

x = 5

Therefore, Ann needs 5 pounds of peanuts

um dude we need the choices

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11