Ifer has a small business mixing and selling essential oils. One product is a mixture of two oils, lavender and peppermint. She asked her assistant, Carmen, to check on two suppliers to determine the costs for her next batch. Carmen contacted the suppliers and got quotes from each for the order. She misplaced the number of ounces of each oil she needed to purchase.
The information she has is:
Supplier A:
lavender: $5.80/ounce
peppermint: $4.20/ounce
Total cost: $128.40
Supplier B:
lavender: $4.50/ounce
peppermint: $5.00/ounce
Total cost: $124She decides to solve a system of equations to determine the number of ounces of lavender, L and of peppermint, P, she should order. What system of equations can Jennifer use to find L and P?
a 5.8L+5P=128.4; 4.5L+4.2P=1245.8L+5P=128.4; 4.5L+4.2P=124
b 4.2L+5.8P=128.4; 5L+4.5P=1244.2L+5.8P=128.4; 5L+4.5P=124
c 5.8L+4.2P=128.4; 4.5L+5P=1245.8L+4.2P=128.4; 4.5L+5P=124
d 2L+5P=128.4; 4.5L+5.8P=1244.2L+5P=128.4; 4.5L+5.8P=124