How many pounds of butterscotch candy at $2.45 per pound must the Candy Castle mix with caramel candy at a dollar and $1.35 per pound to obtain a 5 pound mixture that sells for a dollar and $1.57 per pound

1 pound of butterscotch candy is mixed with 4 pounds of caramel candy.

Step-by-step explanation:

Let x be the amount of butterscotch candy and y be the amount of caramel candy in pounds.

Total amount of mixture = 5 pounds

Thus, we can write the equation:

Cost of butterscotch candy = $2.45 per pound

Cost of caramel candy = $1.35 per pound

Cost of mixture = $1.57 per pound

Thus, we can write the equation:

Solving the two equation by substitution, we get,

Thus, 1 pound of butterscotch candy is mixed with 4 pounds of caramel candy.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft