(BEST ANSWER GETS MEDAL!) What equations would you use for this problem? Candy A is worth $1.50 per pound, and Candy B is worth $2.00 per pound. If we want to mix the two types of candy to produce 30 pounds of candy worth $1.60 per pound, how many pounds of Candy A will we need to use?

Question

anonymous · Answer

Please someone help! So confused about how to solve this

valpey · Answer

x = pounds of A
30-x = pounds of B

x*$1.50 + (30-x)*$2.00 = 30 * $1.60

valpey · Answer

The idea here is to write your expression in terms of the total value of candy on both sides of the equation.

anonymous · Answer

Ahhh thank you so much! You're a lifesaver! : D

anonymous · Answer

So x would be 24?

valpey · Answer

Sounds right. $1.60 is one fifth of the way from $1.50 to $2.00, so we should expect that the ratio of A to B would be 4:1

anonymous · Answer

Thank you so much!!! :)

valpey · Answer

And 24:6 is equal to 4:1

valpey · Answer

In the future, you can solve problems like this with that kind of shorthand. Really useful to understand if you have the time.