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At a diner, the cost of a muffin (m) and a cup of tea (t) is $2.10. The cost for two muffins and 3 cups of tea is $5.15. How much does a muffin and a cup of tea cost?

 Apr 10, 2020
 #1
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We  have  these equations

 

m +  t  =  2.10    ⇒   t =  2.10  -  m   (1)

2m + 3t  = 5.15     (2)

 

Sub  (1)  into (2)   and we have

 

2m + 3 ( 2.10 - m)  = 5.15        simplify

 

2m + 6.30  - 3m  = 5.15

 

-m +6.30  = 5.15       subtract 6.30  from both sides

 

-m  = -1.15    multiply  through by -1

 

m = 1.15  =  cost of a muffin

 

t  = 2.10 - 1.15 =  .95  = cost  of tea

 

 

cool cool cool

 Apr 10, 2020

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