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 i…

Question

asked Jul 18, 2020 159k views

1 Answer

DJname · Answer 1 · 2020-07-24T19:53:10+0000

Answer:

$8 \ pounds$

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

⇒
(9)/(2) = ((26-x))/(4)

Cross multiply both side to get;

⇒
18 = 26 -x

∴
$x= 8 \ pounds$

Weight of Cantaloupe is
$8\ pounds$ .