Quarantine cupcakes

Mr. Honse was baking quarantine cupcakes. Mrs. Carr made twice as many as Mr. Honse. Ms. Sanchez made 12 cupcakes, more than Mr. Honse. Suppose they put all their cupcakes together (which they can't because. of quarantine!), they would have 108 cupcakes. How many cupcakes did each Math teacher make?

Final Answer:

C =  48
H =  24
S =  36

Step-by-step explanation:


C=2·H
S = 12+H
C+H+S = 108

C-2H = 0
H-S = -12
C+H+S = 108

Row 3 - Row 1 → Row 3
C-2H = 0
H-S = -12
3H+S = 108

Pivot: Row 2 ↔ Row 3
C-2H = 0
3H+S = 108
H-S = -12

Row 3 - 1/3 · Row 2 → Row 3
C-2H = 0
3H+S = 108
-1.333S = -48


S = -48/-1.33333333 = 36
H = 108-S/3 = 108-36/3 = 24
C = 0+2H = 0+2 · 24 = 48

C = 48
H = 24
S = 36

Our linear equations calculator calculates it.

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Showing 3 comments:
Math student
the quarantine cookie problem is very timely. am making my learning module and i took it as a sample problem. thanks

Math student
i mean cupcakes ha ha

Math student
Ms. Lee baked 16 cupcakes on Friday. On Saturday, 4 cupcakes were eaten, and c new cupcakes were added. How many cupcakes did Ms. Lee have on Saturday?





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