When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods
. How long is each rod?
1 answer:
Answer:
Red = 10 cm, blue = 14 cm
Step-by-step explanation:
<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>
<u>Then we have:</u>
<u>Multiply the first equation by 3 and the second one by 2:</u>
<u>Add the equations to eliminate one of variables:</u>
<u>Find the value of b:</u>
- 3*10 -2b = 2
- 30 - 2 = 2b
- 2b = 28
- b = 14 cm
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