Photos

Three friends, Miranda, Lucy, and Hannah, collect photos. If Miranda had three more photos, she would have as many as Hannah. If Lucy had five photos less than she has, she would be like Hannah. How many photographs does each have if they have 431 together?

Final Answer:

H =  143
L =  148
M =  140

Step-by-step explanation:


M+L+H = 431
M+3 = H
L-5 = H

H+L+M = 431
H-M = 3
H-L = -5

Row 2 - Row 1 → Row 2
H+L+M = 431
-L-2M = -428
H-L = -5

Row 3 - Row 1 → Row 3
H+L+M = 431
-L-2M = -428
-2L-M = -436

Pivot: Row 2 ↔ Row 3
H+L+M = 431
-2L-M = -436
-L-2M = -428

Row 3 - -1/-2 · Row 2 → Row 3
H+L+M = 431
-2L-M = -436
-1.5M = -210


M = -210/-1.5 = 140
L = -436+M/-2 = -436+140/-2 = 148
H = 431-L-M = 431-148-140 = 143

H = 143
L = 148
M = 140

Our linear equations calculator calculates it.

Try another example


Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Do you have a system of equations and are looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

algebranumbersGrade of the word problem

Related math problems and questions: