## Edmund has $190 All$2 and $5 4 more$2 than $5 How man$2 Edmund have?

Question

Edmund has $190 All$2 and $5 4 more$2 than $5 How man$2 Edmund have?

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2 months 2021-07-27T22:51:23+00:00 2 Answers 1 views 0

1. Firstly 190$is even so the number of 5$ is even and the number of 2$is a multiple of 5. So 5k lots of 2$

2n lots of 5$But if there are 4 less 5$ notes than 2$notes 5k – 4 = 2n Where 5k + 2n = 190$

Or k * 10$+ n * 10$ = 190$Then k+n = 19 Write n = 19 – k 5k – 4 = 38 – 2k 7k = 42 k = 6 n = 13 So we have 130$ Of 5$notes and 60$ of 2$notew that’s 26 5$ notes and 30 2$notes. 2. Firstly 190is even so the number of 5isevensothenumberof5 is even and the number of 2$ is a multiple of 5.

So 5k lots of 2$2n lots of 5$

But if there are 4 less 5notes than 2notesthan2 notes

5k – 4 = 2n

Where 5k + 2n = 190$Or k * 10+ n * 10+n∗10 = 190$

Then k+n = 19

Write n = 19 – k

5k – 4 = 38 – 2k

7k = 42

k = 6

n = 13

So we have 130Of 5Of5 notes and 60of 2of2 notew

that’s 26 5notes and 30 2notesand302 notes.