To solve a problem, we often _ _ _ _ _ _ _ _ _ the given information into algebraic expressions and equations
1 answer:
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Answer:
Step-by-step explanation:
we know that
To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan
so
Answer:
Eli has saved $10
Step-by-step explanation:
Let us use the first letters of their names to represent them.
A for Angela and E for ELi
So, from the first statement, we can write out an equation: E = A + 8, that is, <em>one-third of Angela's savings + $8 will give us Eli's savings</em>
From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that <em>if $10 is added to both their savings, Eli will still have $4 more than Angela.</em>
So, we can solve both equations;
Equation 1: E = A + 8
Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14
and then E = A + 4
The two equations (in bold), can then be solved simultaneously.
Let us carry out this operation to <u>eliminate the E:</u> Subtract equation 1 from equation 2, so that;
A + 4 - ( A + 8) = E - E
A - 4 = 0
A = 4
A = 4 × = 6
So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10
So, Eli has saved $10, while Angela has saved $6.
If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.