shammy161 shammy161

07-12-2016
Mathematics

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5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee

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klaudiakotwica klaudiakotwica

07-12-2016

a - mass of the lollipop
b - mass of yhe toffee

5a + 12b = 61
10a + 13b = 89

10a = 89 - 13b
a = 8.9 - 1.3b

5*(8.9 - 1.3b) + 12b = 61
44.5 - 6.5b + 12b = 61
5.5b = 16.5
b = 3

a = 8.9 - 1.3*3 = 5

a = 5
b = 3

Lollipop has a mass 5g and toffee 3g

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