Question

the cost of 5 bedspreads and 8 pillows is $431.67. three bedspreads and 10 pillows cost $344.75. find the cost of each bedspread and each pillow.

Answer 1

5b+8p=431.67
3b+10p=344.75
multiple the first equation by 3: 15b+24p=1295.01
multiple the second equation by 5: 15b+50p=1723.75
subtract to eliminate b: 26p=428.74
p=16.49
plug p=16.49 into the first equation: 5b+8(16.49)=431.67
b=59.95

please double check my calcualtion