1. SELECT A VARIABLE 2. REPRESENT ALL OTHER UNKNOWN NUMBERS IN TERMS OF THAT VAR
ID: 3102203 • Letter: 1
Question
1. SELECT A VARIABLE2. REPRESENT ALL OTHER UNKNOWN NUMBERS IN TERMS OF THAT VARIABLE
3. WRITE AN EQUATION THAT REPRESENTS THE RELATIONSHIP
4. SOLVE THE EQUATION
5. CHECK THE VALUE SEE IF IT SATISFIES THE STATED CONDITION.
PROBLEM
On Monday a otter ate a certain amount of food. Tuesday he ate 4 lbs less than he ate on Monday. Wednesday he ate 3 lbs more than Monday. Thursday he ate the same as Monday. From Monday to Thursday combined he ate his own weight in food 87lbs
How much did he eat each day.
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Explanation / Answer
let M be the amount of food this otter ate on Monday Tuesday = M - 4 Wednesday = M + 3 Thursday = M 87 = Monday + Tuesday + Wednesday + Thursday 87 = M + M-4 + M+3 + M 87 = 4M -1 88 = 4M M = 22 So Monday he ate 22 lb Tuesday = 22 - 4 = 18 lb Wednesday = 22 + 3 =25 lb Thursday = 22 lb Check: 22 + 18 + 25 + 22 = 87 lb
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