The cost of a slice of banana cake is t cents. The cost of a slice of chocolate cake is (t + 5) cents. The total cost of 7 slices of banana cake and 11 slices of chocolate cake is 2215 cents. Find the value of t.
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7+11(t+7)=2215
7+11t(77)=2215
7+11=18
18t(77)=2215
Transpose 77 to RHS
18t= 2215-77
= 2138
Divide 18 on both sides
18t÷18= 2138÷18
= 118.77777777777
T=118.77777777777
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Answer:
Given :
Cost of a slice of banana cake = t cents • Cost of a slice of chocolate cake = t + 5 cents
• Sum of prices of 7 banana cakes and 11 chocolate cakes is 2215 cents
✩ To Find :
. The value of t
✩ According to the question :
7t + 11 (t+5) = 2215 cents
✩ Solution :
7t + 11(t + 5) = 2215
7t + 11t = 2215 55
18t = 2160
2160
18
Therefore, the value of t is
t=
= 120
: →
120 cents
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