Two jars contain sweets jar X has red and white sweets in the ratio 1:4 and jar Y has red and white sweets in the ratio 1:6. TWO jars are then mixed together. Find the smallest number of sweets that could have been in each jar if the red and white sweets are now in the ratio 1: 6
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Step-by-step explanation:
jar X has red and white sweets in the ratio 1:4
=> Red = X
White = 4X
Total = 5X
jar Y has red and white sweets in the ratio 1:6
=> Red = Y
White = 6Y
Total = 7Y
Total = 5X + 7Y
Total Red = X + Y
Total White = 4X + 6Y
X + Y : 4X + 6Y = 1 : 6
=> 6X + 6Y = 4X + 6Y
=> 2X = 0
=> X = 0
Jar X has 0 sweets
jat Y minimum can have 1 red & 6 white = 7 Sweets
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