One catcher's mitt and 10 outﬁelder's gloves cost $239.50. How much does each item cost if 1 catcher's mitt and 5 outﬁelder's gloves cost $134.50?

A The cost of a catcher's mitt is $29.50 and an outfielder's glove is $21.00.

B The cost of a catcher's mitt is $28.80 and an outfielder's glove is $21.07.

C The cost of a catcher's mitt is $28.50 and an outfielder's glove is $21.10.

D The cost of a catcher's mitt is $31.50 and an outfielder's glove is $20.60.

Question

Ali Hammond

Mathematics

22 September, 10:00

One catcher's mitt and 10 outﬁelder's gloves cost $239.50. How much does each item cost if 1 catcher's mitt and 5 outﬁelder's gloves cost $134.50?

A The cost of a catcher's mitt is $29.50 and an outfielder's glove is $21.00.

B The cost of a catcher's mitt is $28.80 and an outfielder's glove is $21.07.

C The cost of a catcher's mitt is $28.50 and an outfielder's glove is $21.10.

D The cost of a catcher's mitt is $31.50 and an outfielder's glove is $20.60.

+2

Answers (1)

Know the Answer?

Douglas Spears · Answer 1

Make an equation for each statement with x being catcher's mitts and y being outfielder's gloves.

x + 10y = 239.50 and x + 5y = 134.50

Multiply the second equation through by - 1 giving - x - 5y = - 134.50

Combine the equations vertically

x + 10y = 239.50

-x - 5y = - 134.50

giving

5y = 105

y = 21

Now substitute for y:

x + 10 (21) = 239.50

x + 210 = 239.50

x = 29.50

Thus, Catchers mitts $29.50 and outfielder's gloves are $21