Question

A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.

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

Learn More

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