Answer:
Step-by-step explanation:
Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
The answer is a have a great day/night !
Answer:
9.9 cups
Step-by-step explanation:
5/6 times 12 equals 9.9
Let us fill the blank squares in the 10-frame by the yellow circles below to make 10s.
1. Fill the 3 blank squares with 3 yellow circles below to make a 10 and form a new fact 10 + 2. Now, we can easily add 10 and 2 to get 12.
2. Fill the 1 blank square with 1 yellow circle below to make a 10 and form a new fact 10 + 4. Now, we can easily add 10 and 4 to get 14.
Please refer attached figures for better understanding.
5 x 9 =45
6 x 10=60
45/60 simplify by dividing in 15
3/4
