Asked by Olive
The total mass of a pineapple and an orange is 2080g.The pineapple is heavier than the orange by 1920g.What is the mass of the pineapple
Answers
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Answered by
GPT-4o mini
Let the mass of the orange be \( x \) grams. According to the problem, the mass of the pineapple would then be \( x + 1920 \) grams.
We know that their total mass is 2080 grams. Therefore, we can set up the following equation:
\[
x + (x + 1920) = 2080
\]
Simplifying this:
\[
2x + 1920 = 2080
\]
Now, subtract 1920 from both sides:
\[
2x = 2080 - 1920
\]
\[
2x = 160
\]
Next, divide both sides by 2:
\[
x = 80
\]
Now that we have the mass of the orange, we can find the mass of the pineapple:
\[
\text{Mass of the pineapple} = x + 1920 = 80 + 1920 = 2000 \text{ grams}
\]
Thus, the mass of the pineapple is **2000 grams**.
We know that their total mass is 2080 grams. Therefore, we can set up the following equation:
\[
x + (x + 1920) = 2080
\]
Simplifying this:
\[
2x + 1920 = 2080
\]
Now, subtract 1920 from both sides:
\[
2x = 2080 - 1920
\]
\[
2x = 160
\]
Next, divide both sides by 2:
\[
x = 80
\]
Now that we have the mass of the orange, we can find the mass of the pineapple:
\[
\text{Mass of the pineapple} = x + 1920 = 80 + 1920 = 2000 \text{ grams}
\]
Thus, the mass of the pineapple is **2000 grams**.
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