Question

1. a garden contains 135 flowers, each of which is either red or yellow.there are 3 beds of yellow flowers and 3 beds of red flowers. there are30 yellow flowers in each yellow flower bed.part aif $r$ represents the number of red flowers in eachred flower bed, what equation could you use torepresent the number of red and yellow flowers?part bwrite another real-world situation that yourequation from part a could represent.

Explanation:

Step1: Calculate total yellow flowers

Total yellow flowers = Number of yellow beds × Flowers per yellow bed
$\text{Total yellow} = 3 \times 30 = 90$

Step2: Calculate total red flowers

Total red flowers = Number of red beds × Flowers per red bed
$\text{Total red} = 3r$

Step3: Set up total flower equation

Total flowers = Total yellow + Total red
$135 = 90 + 3r$ (or rearranged to $3r + 90 = 135$)

Part B requires a real-world scenario that matches the linear structure of the equation from Part A: a total quantity equal to a fixed amount plus 3 groups of an unknown quantity $r$. The scenario should mirror the 3 equal groups of an unknown and a fixed total.

Answer:

Part A

$3r + 90 = 135$ (or equivalent form $135 = 3r + 90$)

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