Jasmine bought 1.3 pounds of ham and 0.8 pounds of cheese from the deli and paid $11.28. she went back the following week and bought 1.5 pounds of ham and 1.2 pounds of cheese and paid $14.76. if the prices remained the same, find the price per pound of ham and cheese using the elimination method

Price per pound of ham is 4.8

Price per pound of cheese is 6.3

Given :

Jasmine bought 1.3 pounds of ham and 0.8 pounds of cheese from the deli and paid $11.28.

She went back the following week and bought 1.5 pounds of ham and 1.2 pounds of cheese and paid $14.76.

Solution :

Let 'a' be the price of one pound of ham and 'b' be the price of one pound of cheese.

From the given data we have,

1.3a + 0.8b = 11.28 ---- (1)

1.5a + 1.2b = 14.76 ---- (2)

Now from equation (1),

 ----- (3)

Now from equation (2) and (3) we get,

b = 6.3

Now put the value of b in equation (3) we get,

a = 4.8

Price per pound of ham is 4.8

Price per pound of cheese is 6.3

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step-by-step explanation:

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.