Calculate Remaining Flowers: 13 Bushes × 5 Flowers + 9 Plants × 2 Flowers - 40 Picked

Multi-Step Word Problems with Grouped Operations

There are several types of flowers in a field.

5 flowers grow on one bush and there are are 13 such bushes.

Another area has 9 plants, each of which has 2 flowers.

The flower pickers took 30 flowers from the bushes and 10 from the plants.

How many flowers are left in the field?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

There are several types of flowers in a field.

5 flowers grow on one bush and there are are 13 such bushes.

Another area has 9 plants, each of which has 2 flowers.

The flower pickers took 30 flowers from the bushes and 10 from the plants.

How many flowers are left in the field?

2

Step-by-step solution

We will convert the question into an exercise with which we are familiar:

(5×1330)+(9×210) \left(5\times 13-30\right)+\left(9\times 2-10\right)

First, we will solve everything that is in the parentheses, starting with the multiplication and division from left to right:

(6530)+(1810) \left(65-30\right)+\left(18-10\right)

Then the addition and subtraction operations that are in the parentheses:

35+8 35+8

Finally, we perform the operations outside of the parentheses:

35+8=43 35+8=43

3

Final Answer

43

Key Points to Remember

Essential concepts to master this topic
  • Organization: Group similar operations before calculating final totals
  • Technique: Calculate (13×5-30) + (9×2-10) = 35 + 8
  • Check: Verify each group separately: 65-30=35, 18-10=8, then 35+8=43 ✓

Common Mistakes

Avoid these frequent errors
  • Adding all numbers without considering operations
    Don't just add 13+5+9+2+30+10 = wrong total! This ignores the actual relationships between quantities. Always follow the order of operations: multiplication first, then subtraction within each group, finally addition of results.

Practice Quiz

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\( 0:7+1= \)

FAQ

Everything you need to know about this question

Why do I need to group the bushes and plants separately?

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Each type of flower has different quantities and different amounts picked. Grouping keeps the calculations organized: bushes (13×5-30) and plants (9×2-10), then add the results together.

Can I subtract all the picked flowers at the end instead?

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You could calculate total flowers (13×5 + 9×2 = 83) then subtract total picked (30+10 = 40) to get 43. Both methods work, but grouping helps avoid mixing up which flowers came from where.

What if I calculated 65 + 18 - 30 - 10 = 43?

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That works too! Just be careful with the order of operations. Multiplication comes first (65 and 18), then you can subtract from left to right. The grouped method (6530)+(1810) (65-30)+(18-10) is often clearer.

How do I know which numbers to multiply together?

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Look for rate × quantity relationships: 5 flowers per bush × 13 bushes and 2 flowers per plant × 9 plants. The word 'each' or 'per' signals multiplication.

What if I get a different answer when checking?

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Double-check your arithmetic step by step: 5×13=65, 9×2=18, 65-30=35, 18-10=8, 35+8=43. Most errors happen in basic multiplication or subtraction, so verify each calculation.

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