Question
dra has mangos and apricots in a ratio of
. How many mangos does she have if she has 600 apricots?
he double number line below, fill in the given values, then use multiplication or division to find the missing va
he double number line below, fill in the given values, then use multiplication or division to find the missing va
Ask by Collins Harrington. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Dra has 2650 mangos.
Solution
To solve the problem, we need to determine how many mangos Dra has based on the given ratio of mangos to apricots, which is
. We know that Dra has 600 apricots.
Step 1: Set up the ratio
The ratio of mangos (M) to apricots (A) can be expressed as:
Step 2: Substitute the known value
We know that
. We can substitute this value into the ratio:
Step 3: Cross-multiply to solve for M
Cross-multiplying gives us:
Step 4: Calculate the right side
Now, we calculate
:
Step 5: Solve for M
Now we can solve for
:
Step 6: Perform the division
Now, we perform the division:
Conclusion
Dra has 2650 mangos.
If you need to fill in a double number line, it would look like this:
Mangos | Apricots |
---|---|
53 | 12 |
2650 | 600 |
This shows the relationship between the number of mangos and apricots based on the given ratio.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find out how many mangos Dra has, we first need to establish the relationship between mangos and apricots based on their ratio of
. Given that she has 600 apricots, we can set up a proportion. Since
apricots correspond to
mangos, we can use the formula:
Calculating this gives Dra
mangos!
Now, let’s think of a broader perspective here. When working with ratios, it’s often helpful to convert them into fractions. This way, you can cross-multiply to find missing values. It’s a nifty trick that works for all kinds of ratio problems! Just remember to keep both ratios consistent and cross-multiply properly.