2 years ago

8 t-shirts and a hat costs £42 3 t-shirts and a hat costs £17 how much does the hat and t shirt cost

1 answer:

7 0

17 + 5shirts = 42
5shirts = 42-17 = 25
1shirt = 25/5 = 5

A shirt costs £5.

3*5 + 1hat = 17
15 + 1hat = 17
1hat = 2

A hat costs £2

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Genrish500 [490]

Answer:

$x=4$

Step-by-step explanation:

By the Triangle Proportionality Theorem:

$\displaystyle \frac{x}{12}=\frac{x+1}{15}$

By cross-multiplication:

$\displaystyle 12(x+1)=15(x)$

Distribute:

$12x+12=15x$

Subtract 12x from both sides:

$12=3x$

Hence:

$x=4$

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