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In this mathematical exploration, we tackle a problem involving ratios and their relationships: if (a:b = 3:4) and (a:(b+8) = 1:2), what is the sum of (a) and (b)? We break down the relationships into equations, simplifying them step-by-step to find the values of (a) and (b). Our approach emphasizes understanding ratios and their manipulations while ensuring a clear solution path. This guide aims to clarify concepts and bolster confidence in solving ratio-based problems.
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By: Daniel Week 14 #3
Question If a:b = 3:4 and a:b+8 = 1:2. then what is the sum of a and b
REWRITE IT FOO a/b = 3/4 a/b+8 = 1/2 a:b= 3:4 a:b+8= 1:2
I don’t like ratios It = ¾ Bottom + 8 = ½ a/b+8= ½ *a B+8= .5a -8 B= .5a-8 a/.5a-8= ¾ …… Skip this
MAKE IT WORK X/Y*2=2x/2y ¾ *2 6/8=.75 6/16= NO .5 12/16= .75 12/24= .5
MOAR 12 +16= 28 28