Question

7. Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her

friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84.
Find the cost per pound of turkey and the cost per pound of ham.

Answer 1

t = 1.195pounds.

Explanation:

The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.

By observing the question, we must notice this is a word problem and can be written mathematically thus;

For Casey:

15.4t + 11.6h = 38.51

For Jane:

10.2t + 7.3h = 24.84

Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.

Therefore, we can make t the subject of the formula in equation (2) as follows;

t = (24.84 - 7.3h)/10.2

Therefore, we can substitute the value of t into equation (1) to get;

15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51

37.51 - 11.023h + 11.6h = 38.51

0.577h = 1

h = 1.733pounds

Therefore, by substituting the value of h into equation 1, we get the value of t to be;

t = 1.195pounds.