Please just form two system of equations from the word problem below:

At a coffee shop bagels cost $1.50 each and muffins cost $2.50 each. A customer bought twice as many bagels as muffins and spent a total of $16.50. How many of each did she buy?

Question

Please just form two system of equations from the word problem below:

At a coffee shop bagels cost $1.50 each and muffins cost $2.50 each. A customer bought twice as many bagels as muffins and spent a total of $16.50. How many of each did she buy?

imstuck · Answer

The first equation relates the number of muffins to bagels.  If twice as many bagels were bought than muffins, 2m = b.  That is the first equation in our system.

imstuck · Answer

If bagels cost 1.5 each and muffins cost 2.5 each, and the customer spent 16.5, then we deal with the money part of the system in another separate equation.  1.5b + 2.5m = 16.5

triciaal · Answer

b = bagel and m = muffin
1.50b + 2.50m = 16.50
b = 2m
can you substitute for b and continue?

imstuck · Answer

solve them simultaneously to find b and m.

xbeenchantedx · Answer

Thank you!!!