Question

A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
a. What is the total weight in grams for the pineapple and orange?
b. Express the total weight of the pineapple and orange in kilograms.

Answer 1

Let's say that the weight of the orange is x and the weight of the pineapple is y.
The weight of the pineapple is 7 times that of the orange, so
y = 7x.
Also, y = x + 870.
Therefore, 7x = x + 870.
If we take away x from both sides, we get 6x = 870
If we divide both sides by 6, we get x = 145.
Therefore, the weight of the orange is 145 g.
Also, 145 + 870 = 1015.
So the weight of the pineapple is 1015 g.

To convert grams into kilograms, they must be divided by 1000.
Therefore, the weight of the orange in kilograms is 145/1000 = 0.145 kg
And the weight of the pineapple is 1015/1000 = 1.015 kg.

Answers:
a. 145g for the orange and 1015g for the pineapple.
b. 0.145kg for the orange and 1.015kg for the pineapple.

Answer 2

The total weight of pineapple and an orange is 1,160 g or 1.16 kg

Further Explanation

From the math word problem above we can get some information and create some equations. Let's say

A pineapple = x

An orange = y

$\boxed {x = 7y\ }\\ \boxed {x = 870 g + y }$

From those equation we can find the value of variable y

$\boxed {7y = 870 + y }\\ \boxed {7y-y = 870 }\\ \boxed {6y = 870 }\\ \boxed {y=145 }$

After we get the variable y, the next step will be calculate the variable x by substitute y into one of the above equation :

$\boxed {x = 7y }\\ \boxed {x= 7 \times\ 145 }\\ \boxed {x=1015 }$

so, the a pineapple weights is 1015 g, and an orange weights is 145 g

Let's answer the question!

a. The total weight for a pineapple and an orange in g:

$\boxed {1015 g + 145 g = 1160 g }$

b. The total weight for a pineapple and an orange in kg:

We need to convert the total weight from g to kg

$\boxed {1 kg = 1000 g }\\ \boxed {1 g= \frac{ 1 }{1000} kg }\\ \boxed {1160 g = ..... kg? }\\ \boxed {= \frac{1160 g}{1000} }\\ \boxed {=1.16 kg} }$

In doing conversion there are 3 easy three steps to follow:

• write the conversion in fraction
• multiply/divide
• cancel any units that are both on the top and bottom

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Keywords: conversion, converting pounds to ounces,converting unit of mass, fraction, multiplication, division