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valina [46]
3 years ago
8

A farmer sells 8.4 kilograms of pears and apple at the market. 1/4 of this weight is pears and the rest is apples. How much kilo

grams of apples did she sell at the market
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

Weight = 6.3 kg

Step-by-step explanation:

Given

Total = 8.4kg

Pears = \frac{1}{4}

Required

Determine the weight of apples

First, we calculate the fraction of apple.

Apple = 1 - Pears

Apple = 1 - \frac{1}{4}

Take LCM

Apple = \frac{4-1}{4}

Apple = \frac{3}{4}

The weight is then calculated as:

Weight = \frac{3}{4} * Total

Weight = \frac{3}{4} * 8.4kg

Weight = \frac{3* 8.4kg}{4}

Weight = \frac{25.2kg}{4}

Weight = 6.3 kg

<em>Hence, the apples weigh 6.4kg</em>

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3 0
3 years ago
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One car model costs $12,000 and costs an average of $0.10 per mile to maintain. Another car model costs $14,000 and costs $0.08
BlackZzzverrR [31]
Answer:
See a solution process below:
Explanation:
Let's call the number of miles driven we are looking for
m
.
The the total cost of ownership for the first car model is:
12000
+
0.1
m
The the total cost of ownership for the second car model is:
14000
+
0.08
m
We can equate these two expressions and solve for
m
to find after how many miles the total cost of ownership is the same:
12000
+
0.1
m
=
14000
+
0.08
m
Next, we can subtract
12000
and
0.08
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
12000
+
12000
+
0.1
m
−
0.08
m
=
−
12000
+
14000
+
0.08
m
−
0.08
m
0
+
(
0.1
−
0.08
)
m
=
2000
+
0
0.02
m
=
2000
Now, we can divide each side of the equation by
0.02
to solve for
m
while keeping the equation balanced:
0.02
m
0.02
=
2000
0.02
0.02
m
0.02
=
100000
After 100,000 miles the total cost of ownership of the two cars would be the same.
3 0
3 years ago
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