Individual 21713

They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, smaller ones only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy?

Correct answer:

a =  12
b =  10

Step-by-step explanation:


a+b=22
65a+50b=1280

a+b=22
65·a+50·b=1280

a+b = 22
65a+50b = 1280

Pivot: Row 1 ↔ Row 2
65a+50b = 1280
a+b = 22

Row 2 - 1/65 · Row 1 → Row 2
65a+50b = 1280
0.23b = 2.31


b = 2.30769231/0.23076923 = 10
a = 1280-50b/65 = 1280-50 · 10/65 = 12

a = 12
b = 10

Our linear equations calculator calculates it.



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