if josh gives Emily 7 apples, she will have 5 times as many apples as Josh. If Emily gives Josh 7 apples, they will have the same number of apples. How many apples does each currently have?
5(j-7) = e+7
e-7 = j+7
j=14
e=28
check:
josh-7 = 14-7 = 7 * 5 = 35 = 28+7
emily-7 = 28-7 = 21 = 14+7
this is really hard and i solved it without a calculator well done steve from anaa kiss kiss
To solve this problem, we can set up a system of equations. Let's assume that the number of apples Josh currently has is 'J', and the number of apples Emily currently has is 'E'.
From the first statement, we know that if Josh gives Emily 7 apples, Emily will have 5 times as many as Josh:
E + 7 = 5(J - 7)
From the second statement, we know that if Emily gives Josh 7 apples, they will have the same number of apples:
E - 7 = J + 7
Now we can solve these equations simultaneously to find the values of 'J' and 'E'.
Rearranging the first equation, we get:
E + 7 = 5J - 35
E = 5J - 42
Substituting this value of E into the second equation:
5J - 42 - 7 = J + 7
4J = 56
J = 14
Now we can substitute the value of J into either of the original equations to find the value of E:
E = 5(14) - 42
E = 70 - 42
E = 28
Therefore, Josh currently has 14 apples, and Emily currently has 28 apples.