How many cups of each to triple a recipe of 1/2 cup of water, 1/3 cup of sugar, 1/8 cup of baking soda and 1 1/2 cup of butter?

Question

Emery Allen · Accepted Answer

#"water : sugar : baking soda : butter"#
#1 1/2color(white)(..):color(white)(..)1color(white)(..):color(white)(d..)3/8color(white)(.dddd.):color(white)(..) 4 1/2# The most straight way to deal with this is use the horizontal format for ratio. For 1 portion we have: #"water : sugar : baking soda : butter"# #color(white)("d")1/2color(white)("dd"):color(white)("d")1/3color(white)("dd"):color(white)("dddd")1/8color(white)("dddd"): color(white)("d")3/2# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The above is for 1 portion of recipe but we need 3 portions. So multiply everything by 3. I choose to write it like this: #3xx (1/2:1/3:1/8: 3/2 )# This is the same as: #1/2:1/3:1/8: 3/2# #1/2:1/3:1/8: 3/2# #ul(1/2:1/3:1/8: 3/2larr" Add")# #3/2:3/3:3/8:9/2# So for 3 lots we have: #"water : sugar : baking soda : butter"# #1 1/2color(white)(..):color(white)(..)1color(white)(..):color(white)(d..)3/8color(white)(.dddd.):color(white)(..) 4 1/2#