Maya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maya $4.55 per pound, and type B
coffee costs $5.75 per pound. This month, Maya made 176 pounds of the blend, for a total cost of $898.00. How many pounds of type B coffee did she use?
Set up a system of equations. When you're shopping you multiply how many of the same item you buy with the item's price. Example if an apple costs 20 cents, 5 apples cost a dollar
4.55A + 5.75B = 898.00 A+B = 176 Number of type A and type B total
Get B or A by itself. Let's do B. Subtract A from both sides: B= 176-A
Plug in B into the other equation. 4.55A + 5.75B = 898.00 4.55A + 5.75(176-A) = 898.00 Solve for A. 4.55A +1012 - 5.75A = 898.00 -1.2A = -114 A = 95
Now you know A, you can find B. Plug A into any equation to get B. 95 + B = 176 B=?
The cake is twice as long as it is wide, so that means cut half the cake (6 3/4 x 6 3/4) into 9 pieces, each with a side of 1/3 * 6 3/4 = 2 1/4 inches.
