Question

A pound of raisins costs $2.00, and a pound of almonds costs $5.00. Six pounds of a trail mix contains 2 more pounds of raisins than almonds. What is the cost of the 6 pounds of trail mix?

Answer 1

Answer:

18.00 because 1 pound is 5.00, 1 plus 2 is 3 so 5 x 3 = 18

Step-by-step explanation:

Answer 2

6 pounds of a trail mix contains 2 more pounds of raisin than almonds

i.e.

Suppose:

• raisins =  r;  and
• almonds  =  a

6 pounds of trails will contain a pound of almond (a) and two more pounds of raisin i.e. (a +2)

∴

a + (a+2) = 6

2a + 2 = 6

2a = 6 -2

2a = 4

a = 2

It implies that there are:

• 2 pounds of almond; and

= (a +2) pounds of raisins

= (2+2) pounds of raisins

= 4 pounds of rasins

Provided that:

• a pound of raisins costs = $2.00
• a pound of almonds costs  = $5.00

∴

The total cost of the 6 pounds of trails mix will be:

= 2($4.00) + 2($5.00)

= $8.00 +$10.00

= $18.00

Therefore, we can conclude that the total cost of 6 pounds of trail mix is $18.00

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