Question

jim bought some files and pens for 18.90. he bought 4 fewer files than pens. if file is 3.50 and pen is 1.20 how many files did he buy

Answer 1

$\sf\huge\green{\underbrace{\red{Answer↓}}}:$

$\huge{\fcolorbox{gold}{Red}{3 files}}$

Step-by-step explanation:

$\huge \underline \mathfrak\color{red} {Given,}$

4 fewer files have been bought in comparison to pens

Cost of 1 pen = 1.20

Cost of 1 file = 3.50

$\huge \underline \mathfrak\color{red} {To\:Find,}$

Number of files bought by Jim.

$\huge \underline \mathfrak\color{red} {Procedure,}$

Since, 4 fewer files, i.e., 4 more pens are bought,

$cost \: of \: 4 \: mor e\: pens = 4 \times 1.20 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4.80$

Amount left to be distributed

$18.90 - 4.80 = 14.10$

Let's take the help of ratio to find the number of files bought

$ratio \: of the \: cost \: of\: file \: to \: pen = 3.50 \ratio1.20$

$total \: parts \: = 3.50 + 1.20 = 4.70$

Therefore, cost total files bought will be

$\frac{3.50}{4.70} \times 14.10$

$10.5$

Since, files are bought for 10.5, and cost of 1 file is 3.50,

Therefore, number of files bought

$10.5 \div 3.50$

$= \frac{10.5}{3.50}$

$= 3$

Therefore, number of files bought is 3