Question

A watermelon, pineapple and cantaloupe weigh a total of 30 pounds. the ratio of the weight of the watermelon to the weight of the pineapple is 9:2. The weight of the pineapple is 4 pounds. What is the weight of the cantaloupe?

Answer 1

Answer:

$8 \ pounds$

Step-by-step explanation:

Given: Total weight = $30 \ pounds$

           Ratio of weight of watermelon to pineapple = 9:2

           Weight of Pineapple= $4\ pounds$

Weight of Watermelon and cantaloupe = $(Total\ weight) - (weight\ of\ pineapple)$

∴ Weight of Watermelon and cantaloupe = $30 - 4= 26 \ pounds$

Let the weight of cantaloupe = x

∴ Weight of watermelon = $26 - x$

Now, solving to find the weight of cantaloupe

⇒$9:2 = (26-x):4$

⇒$\frac{9}{2} = \frac{(26-x)}{4}$

Cross multiply both side to get;

⇒ $18 = 26 -x$

∴ $x= 8 \ pounds$

Weight of Cantaloupe is $8\ pounds$.