
Evan M. answered 02/06/21
Patient and Detail-Oriented Programmer / Math Tutor
1lb of Apples = 1.35
1lb of Cherries = 3.62
To figure out how much 1.6 pounds of apples will cost, we must use the pre-existing information to help us solve for this unknown "x".
Since 1lb of apples = 1.35; divide both sides by 1.35 to get this -> {(1lb of apples / 1.35) = 1}
Also the cost of 1.6lb of apples = x; {(1.6lb of apples / x) = 1}
Therefore:
(1/1.35) = (1.6/x)
First multiply both sides by x, giving us:
(x/1.35) = 1.6
Then multiply each side by 1.35, giving you the answer:
x = 2.16
Performing the same computation with the cherries. Let y = cost of 2.5lb of cherries.
(1/3.62) = (2.5/y)
Then:
(y/3.62) = 2.5
Finally:
y = (3.62) * 2.5 = 9.05
How much will it cost to buy 1.6lb of apples ($2.16) and 2.5lb of cherries ($9.05)?
$2.16 + $9.05 = $11.21